251120000053 has 32 divisors (see below), whose sum is σ = 295904931840. Its totient is φ = 210899220480.

The previous prime is 251119999997. The next prime is 251120000083. The reversal of 251120000053 is 350000021152.

It is not a de Polignac number, because 251120000053 - 2²⁹ = 250583129141 is a prime.

It is a super-2 number, since 2×251120000053² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251120000083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6399828 + ... + 6438946.

It is an arithmetic number, because the mean of its divisors is an integer number (9247029120).

Almost surely, 2^251120000053 is an apocalyptic number.

It is an amenable number.

251120000053 is a deficient number, since it is larger than the sum of its proper divisors (44784931787).

251120000053 is a wasteful number, since it uses less digits than its factorization.

251120000053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40117.

The product of its (nonzero) digits is 300, while the sum is 19.

The spelling of 251120000053 in words is "two hundred fifty-one billion, one hundred twenty million, fifty-three", and thus it is an aban number.