52433600633425 has 144 divisors (see below), whose sum is σ = 76171305193200. Its totient is φ = 35652763238400.

The previous prime is 52433600633417. The next prime is 52433600633431.

52433600633425 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 24 ways, for example, as 20344366683729 + 32089233949696 = 4510473^2 + 5664736^2 .

It is not a de Polignac number, because 52433600633425 - 2³ = 52433600633417 is a prime.

It is a super-2 number, since 2×52433600633425² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17196981301 + ... + 17196984349.

It is an arithmetic number, because the mean of its divisors is an integer number (528967397175).

Almost surely, 2^{52433600633425} is an apocalyptic number.

52433600633425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52433600633425 is a deficient number, since it is larger than the sum of its proper divisors (23737704559775).

52433600633425 is a wasteful number, since it uses less digits than its factorization.

52433600633425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 46.

The spelling of 52433600633425 in words is "fifty-two trillion, four hundred thirty-three billion, six hundred million, six hundred thirty-three thousand, four hundred twenty-five".