725769967527 has 24 divisors (see below), whose sum is σ = 1210910322960. Its totient is φ = 413986433280.

The previous prime is 725769967421. The next prime is 725769967537.

725769967527 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 6 + 9 + 96 + 7 + 527 = 666.

725769967527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725769967527 - 2¹⁰ = 725769966503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725769967537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215616252 + ... + 215619617.

It is an arithmetic number, because the mean of its divisors is an integer number (50454596790).

Almost surely, 2^725769967527 is an apocalyptic number.

725769967527 is a deficient number, since it is larger than the sum of its proper divisors (485140355433).

725769967527 is a wasteful number, since it uses less digits than its factorization.

725769967527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431235903 (or 431235900 counting only the distinct ones).

The product of its digits is 700131600, while the sum is 72.

The spelling of 725769967527 in words is "seven hundred twenty-five billion, seven hundred sixty-nine million, nine hundred sixty-seven thousand, five hundred twenty-seven".