251015115089 has 2 divisors, whose sum is σ = 251015115090. Its totient is φ = 251015115088.

The previous prime is 251015115083. The next prime is 251015115151. The reversal of 251015115089 is 980511510152.

251015115089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193153218064 + 57861897025 = 439492^2 + 240545^2 .

It is a cyclic number.

It is not a de Polignac number, because 251015115089 - 2²⁴ = 250998337873 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (251015115083) 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, 125507557544 + 125507557545.

It is an arithmetic number, because the mean of its divisors is an integer number (125507557545).

Almost surely, 2^251015115089 is an apocalyptic number.

It is an amenable number.

251015115089 is a deficient number, since it is larger than the sum of its proper divisors (1).

251015115089 is an equidigital number, since it uses as much as digits as its factorization.

251015115089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 38.

The spelling of 251015115089 in words is "two hundred fifty-one billion, fifteen million, one hundred fifteen thousand, eighty-nine".