52312510131552 has 288 divisors, whose sum is σ = 163235044705824. Its totient is φ = 15759791308800.

The previous prime is 52312510131551. The next prime is 52312510131653. The reversal of 52312510131552 is 25513101521325.

52312510131552 is a `hidden beast` number, since 5 + 2 + 3 + 1 + 2 + 510 + 131 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52312510131551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2119877038 + ... + 2119901714.

It is an arithmetic number, because the mean of its divisors is an integer number (566788349673).

Almost surely, 2^{52312510131552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52312510131552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81617522352912).

52312510131552 is an abundant number, since it is smaller than the sum of its proper divisors (110922534574272).

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

52312510131552 is a wasteful number, since it uses less digits than its factorization.

52312510131552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28582 (or 28571 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 52312510131552 its reverse (25513101521325), we get a palindrome (77825611652877).

The spelling of 52312510131552 in words is "fifty-two trillion, three hundred twelve billion, five hundred ten million, one hundred thirty-one thousand, five hundred fifty-two".