251144143057 has 2 divisors, whose sum is σ = 251144143058. Its totient is φ = 251144143056.

The previous prime is 251144142959. The next prime is 251144143123. The reversal of 251144143057 is 750341441152.

251144143057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161050518721 + 90093624336 = 401311^2 + 300156^2 .

It is a cyclic number.

It is not a de Polignac number, because 251144143057 - 2⁷ = 251144142929 is a prime.

It is a super-3 number, since 3×251144143057³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (251144123057) 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 as a sum of consecutive naturals, namely, 125572071528 + 125572071529.

It is an arithmetic number, because the mean of its divisors is an integer number (125572071529).

Almost surely, 2^251144143057 is an apocalyptic number.

It is an amenable number.

251144143057 is a deficient number, since it is larger than the sum of its proper divisors (1).

251144143057 is an equidigital number, since it uses as much as digits as its factorization.

251144143057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 251144143057 in words is "two hundred fifty-one billion, one hundred forty-four million, one hundred forty-three thousand, fifty-seven".