725764467527 has 32 divisors (see below), whose sum is σ = 853152362496. Its totient is φ = 610501478400.

The previous prime is 725764467503. The next prime is 725764467541.

725764467527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725764467527 - 2⁸ = 725764467271 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 725764467527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725764467557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21574973 + ... + 21608585.

It is an arithmetic number, because the mean of its divisors is an integer number (26661011328).

Almost surely, 2^725764467527 is an apocalyptic number.

725764467527 is a deficient number, since it is larger than the sum of its proper divisors (127387894969).

725764467527 is a wasteful number, since it uses less digits than its factorization.

725764467527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36431.

The product of its digits is 138297600, while the sum is 62.

The spelling of 725764467527 in words is "seven hundred twenty-five billion, seven hundred sixty-four million, four hundred sixty-seven thousand, five hundred twenty-seven".