251213023354152 has 256 divisors, whose sum is σ = 662474000056320. Its totient is φ = 79230696652800.

The previous prime is 251213023354049. The next prime is 251213023354171. The reversal of 251213023354152 is 251453320312152.

It is a self number, because there is not a number n which added to its sum of digits gives 251213023354152.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14579123377 + ... + 14579140607.

It is an arithmetic number, because the mean of its divisors is an integer number (2587789062720).

Almost surely, 2^{251213023354152} 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 251213023354152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331237000028160).

251213023354152 is an abundant number, since it is smaller than the sum of its proper divisors (411260976702168).

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

251213023354152 is a wasteful number, since it uses less digits than its factorization.

251213023354152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18224 (or 18220 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 251213023354152 in words is "two hundred fifty-one trillion, two hundred thirteen billion, twenty-three million, three hundred fifty-four thousand, one hundred fifty-two".