725796697527 has 24 divisors (see below), whose sum is σ = 1146160583568. Its totient is φ = 438922579200.

The previous prime is 725796697513. The next prime is 725796697573.

725796697527 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 9 + 6 + 6 + 97 + 527 = 666.

725796697527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725796697527 - 2¹⁸ = 725796435383 is a prime.

It is a super-2 number, since 2×725796697527² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725796697597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7905858 + ... + 7997135.

It is an arithmetic number, because the mean of its divisors is an integer number (47756690982).

Almost surely, 2^725796697527 is an apocalyptic number.

725796697527 is a deficient number, since it is larger than the sum of its proper divisors (420363886041).

725796697527 is a wasteful number, since it uses less digits than its factorization.

725796697527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15903471 (or 15903468 counting only the distinct ones).

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

The spelling of 725796697527 in words is "seven hundred twenty-five billion, seven hundred ninety-six million, six hundred ninety-seven thousand, five hundred twenty-seven".