52531102312000 has 112 divisors (see below), whose sum is σ = 140100450143472. Its totient is φ = 19396099276800.

The previous prime is 52531102311997. The next prime is 52531102312027. The reversal of 52531102312000 is 21320113525.

52531102312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 42875465860096 + 9655636451904 = 6547936^2 + 3107352^2 .

It is a super-2 number, since 2×52531102312000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 252449377 + ... + 252657376.

It is an arithmetic number, because the mean of its divisors is an integer number (1250896876281).

Almost surely, 2^{52531102312000} is an apocalyptic number.

52531102312000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52531102312000 is an abundant number, since it is smaller than the sum of its proper divisors (87569347831472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52531102312000 is a wasteful number, since it uses less digits than its factorization.

52531102312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505106793 (or 505106773 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 52531102312000 its reverse (21320113525), we get a palindrome (52552422425525).

The spelling of 52531102312000 in words is "fifty-two trillion, five hundred thirty-one billion, one hundred two million, three hundred twelve thousand".