52388200288325 has 24 divisors (see below), whose sum is σ = 70893302687040. Its totient is φ = 38086339737600.

The previous prime is 52388200288321. The next prime is 52388200288409.

52388200288325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52388200288325 - 2² = 52388200288321 is a prime.

It is a super-2 number, since 2×52388200288325² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52388200288321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34683089 + ... + 36162038.

It is an arithmetic number, because the mean of its divisors is an integer number (2953887611960).

Almost surely, 2^{52388200288325} is an apocalyptic number.

52388200288325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52388200288325 is a deficient number, since it is larger than the sum of its proper divisors (18505102398715).

52388200288325 is a wasteful number, since it uses less digits than its factorization.

52388200288325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70847837 (or 70847832 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 56.

The spelling of 52388200288325 in words is "fifty-two trillion, three hundred eighty-eight billion, two hundred million, two hundred eighty-eight thousand, three hundred twenty-five".