725166560637 has 12 divisors (see below), whose sum is σ = 1057833730044. Its totient is φ = 478657795200.

The previous prime is 725166560623. The next prime is 725166560663. The reversal of 725166560637 is 736065661527.

725166560637 is a `hidden beast` number, since 7 + 2 + 5 + 16 + 6 + 560 + 63 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 441731707641 + 283434852996 = 664629^2 + 532386^2 .

It is not a de Polignac number, because 725166560637 - 2⁷ = 725166560509 is a prime.

It is a super-4 number, since 4×725166560637⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725166580637) 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 11 ways as a sum of consecutive naturals, for example, 398880588 + ... + 398882405.

It is an arithmetic number, because the mean of its divisors is an integer number (88152810837).

Almost surely, 2^725166560637 is an apocalyptic number.

It is an amenable number.

725166560637 is a deficient number, since it is larger than the sum of its proper divisors (332667169407).

725166560637 is a wasteful number, since it uses less digits than its factorization.

725166560637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797763100 (or 797763097 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 725166560637 in words is "seven hundred twenty-five billion, one hundred sixty-six million, five hundred sixty thousand, six hundred thirty-seven".