251613245713620 has 384 divisors, whose sum is σ = 870566693068800. Its totient is φ = 53004752898048.

The previous prime is 251613245713507. The next prime is 251613245713631. The reversal of 251613245713620 is 26317542316152.

It is a self number, because there is not a number n which added to its sum of digits gives 251613245713620.

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 127 ways as a sum of consecutive naturals, for example, 2274332466 + ... + 2274443094.

It is an arithmetic number, because the mean of its divisors is an integer number (2267100763200).

Almost surely, 2^{251613245713620} is an apocalyptic number.

251613245713620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251613245713620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435283346534400).

251613245713620 is an abundant number, since it is smaller than the sum of its proper divisors (618953447355180).

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

251613245713620 is a wasteful number, since it uses less digits than its factorization.

251613245713620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118407 (or 118405 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 251613245713620 in words is "two hundred fifty-one trillion, six hundred thirteen billion, two hundred forty-five million, seven hundred thirteen thousand, six hundred twenty".