251320023152 has 20 divisors (see below), whose sum is σ = 531199140216. Its totient is φ = 114236374080.

The previous prime is 251320023133. The next prime is 251320023169.

It is a happy number.

251320023152 is nontrivially palindromic in base 10.

251320023152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 713977163 + ... + 713977514.

Almost surely, 2^251320023152 is an apocalyptic number.

251320023152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

251320023152 is an abundant number, since it is smaller than the sum of its proper divisors (279879117064).

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

251320023152 is a wasteful number, since it uses less digits than its factorization.

251320023152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427954696 (or 1427954690 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

It can be divided in two parts, 2513200 and 23152, that added together give a palindrome (2536352).

The spelling of 251320023152 in words is "two hundred fifty-one billion, three hundred twenty million, twenty-three thousand, one hundred fifty-two".