52679097625 has 64 divisors (see below), whose sum is σ = 83639462400. Its totient is φ = 32838624000.

The previous prime is 52679097613. The next prime is 52679097641.

52679097625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52679097625 - 2⁵ = 52679097593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52679097625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415777 + ... + 527473.

It is an arithmetic number, because the mean of its divisors is an integer number (1306866600).

Almost surely, 2^52679097625 is an apocalyptic number.

52679097625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52679097625 is a deficient number, since it is larger than the sum of its proper divisors (30960364775).

52679097625 is a wasteful number, since it uses less digits than its factorization.

52679097625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111744 (or 111720 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 58.

The spelling of 52679097625 in words is "fifty-two billion, six hundred seventy-nine million, ninety-seven thousand, six hundred twenty-five".