52881624633201 has 96 divisors (see below), whose sum is σ = 95806729041408. Its totient is φ = 25612491018240.

The previous prime is 52881624633191. The next prime is 52881624633241. The reversal of 52881624633201 is 10233642618825.

52881624633201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52881624633201 - 2⁵ = 52881624633169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (52881624633241) 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 95 ways as a sum of consecutive naturals, for example, 18518985 + ... + 21182918.

It is an arithmetic number, because the mean of its divisors is an integer number (997986760848).

Almost surely, 2^{52881624633201} is an apocalyptic number.

52881624633201 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

52881624633201 is a deficient number, since it is larger than the sum of its proper divisors (42925104408207).

52881624633201 is a wasteful number, since it uses less digits than its factorization.

52881624633201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39701991 (or 39701984 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 52881624633201 in words is "fifty-two trillion, eight hundred eighty-one billion, six hundred twenty-four million, six hundred thirty-three thousand, two hundred one".