251082846252 has 192 divisors, whose sum is σ = 747262566400. Its totient is φ = 71419371840.

The previous prime is 251082846197. The next prime is 251082846253. The reversal of 251082846252 is 252648280152.

251082846252 is a `hidden beast` number, since 2 + 5 + 10 + 8 + 2 + 8 + 4 + 625 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 251082846198 and 251082846207.

It is not an unprimeable number, because it can be changed into a prime (251082846253) 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, 273212649 + ... + 273213567.

Almost surely, 2^251082846252 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 251082846252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373631283200).

251082846252 is an abundant number, since it is smaller than the sum of its proper divisors (496179720148).

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

251082846252 is a wasteful number, since it uses less digits than its factorization.

251082846252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 251082846252 in words is "two hundred fifty-one billion, eighty-two million, eight hundred forty-six thousand, two hundred fifty-two".