This is the 5695th most frequent Russian word.
признанию
"Признанию" means "to recognition" or "to acknowledgment" in English, depending on context.
The word "признанию" here is used to denote an act of acknowledging or admitting something as a factual statement.
По признанию врача, лечение оказалось успешным.
By the doctor's admission, the treatment was successful.
"Признанию" in this sentence refers to the recognition or acknowledgment of one's abilities or achievements.
Её талант подвергся всеобщему признанию.
Her talent was universally recognized.
Here, "признанию" is utilized in the context of a confession or a personal revelation.