725624426527 has 48 divisors (see below), whose sum is σ = 991767278656. Its totient is φ = 516546201600.

The previous prime is 725624426467. The next prime is 725624426539.

725624426527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725624426527 - 2⁷ = 725624426399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725624426587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728377 + ... + 1407757.

Almost surely, 2^725624426527 is an apocalyptic number.

725624426527 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

725624426527 is a deficient number, since it is larger than the sum of its proper divisors (266142852129).

725624426527 is a wasteful number, since it uses less digits than its factorization.

725624426527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679520 (or 679509 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 52.

The spelling of 725624426527 in words is "seven hundred twenty-five billion, six hundred twenty-four million, four hundred twenty-six thousand, five hundred twenty-seven".