251532241253312 has 112 divisors (see below), whose sum is σ = 506830787850240. Its totient is φ = 123835983418368.

The previous prime is 251532241253309. The next prime is 251532241253323. The reversal of 251532241253312 is 213352142235152.

It is a super-2 number, since 2×251532241253312² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 251532241253312.

It is a congruent number.

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, 2805575078 + ... + 2805664730.

It is an arithmetic number, because the mean of its divisors is an integer number (4525274891520).

Almost surely, 2^{251532241253312} 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 251532241253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253415393925120).

251532241253312 is an abundant number, since it is smaller than the sum of its proper divisors (255298546596928).

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

251532241253312 is an equidigital number, since it uses as much as digits as its factorization.

251532241253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91250 (or 91240 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

Adding to 251532241253312 its reverse (213352142235152), we get a palindrome (464884383488464).

The spelling of 251532241253312 in words is "two hundred fifty-one trillion, five hundred thirty-two billion, two hundred forty-one million, two hundred fifty-three thousand, three hundred twelve".