251383822272 has 224 divisors, whose sum is σ = 848638790400. Its totient is φ = 72167500800.

The previous prime is 251383822259. The next prime is 251383822279. The reversal of 251383822272 is 272228383152.

251383822272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×251383822272² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251383822279) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13122 + ... + 709182.

Almost surely, 2^251383822272 is an apocalyptic number.

251383822272 is a gapful number since it is divisible by the number (22) 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 251383822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424319395200).

251383822272 is an abundant number, since it is smaller than the sum of its proper divisors (597254968128).

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

251383822272 is a wasteful number, since it uses less digits than its factorization.

251383822272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696112 (or 696096 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 251383822272 in words is "two hundred fifty-one billion, three hundred eighty-three million, eight hundred twenty-two thousand, two hundred seventy-two".