251688113352 has 256 divisors, whose sum is σ = 811877472000. Its totient is φ = 71576524800.

The previous prime is 251688113351. The next prime is 251688113357. The reversal of 251688113352 is 253311886152.

251688113352 is a `hidden beast` number, since 2 + 516 + 8 + 81 + 1 + 3 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 251688113298 and 251688113307.

It is not an unprimeable number, because it can be changed into a prime (251688113351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2129902 + ... + 2244962.

It is an arithmetic number, because the mean of its divisors is an integer number (3171396375).

Almost surely, 2^251688113352 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 251688113352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405938736000).

251688113352 is an abundant number, since it is smaller than the sum of its proper divisors (560189358648).

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

251688113352 is a wasteful number, since it uses less digits than its factorization.

251688113352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115149 (or 115139 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 251688113352 in words is "two hundred fifty-one billion, six hundred eighty-eight million, one hundred thirteen thousand, three hundred fifty-two".