251352316322400 has 72 divisors (see below), whose sum is σ = 818151789637224. Its totient is φ = 67027284352000.

The previous prime is 251352316322389. The next prime is 251352316322411. The reversal of 251352316322400 is 4223613253152.

It is an interprime number because it is at equal distance from previous prime (251352316322389) and next prime (251352316322411).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52365063501 + ... + 52365068300.

It is an arithmetic number, because the mean of its divisors is an integer number (11363219300517).

Almost surely, 2^{251352316322400} is an apocalyptic number.

251352316322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251352316322400 is an abundant number, since it is smaller than the sum of its proper divisors (566799473314824).

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

251352316322400 is a wasteful number, since it uses less digits than its factorization.

251352316322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104730131824 (or 104730131811 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 251352316322400 its reverse (4223613253152), we get a palindrome (255575929575552).

The spelling of 251352316322400 in words is "two hundred fifty-one trillion, three hundred fifty-two billion, three hundred sixteen million, three hundred twenty-two thousand, four hundred".