251114585411089 has 2 divisors, whose sum is σ = 251114585411090. Its totient is φ = 251114585411088.

The previous prime is 251114585411087. The next prime is 251114585411093. The reversal of 251114585411089 is 980114585411152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250132950310464 + 981635100625 = 15815592^2 + 990775^2 .

It is a cyclic number.

It is not a de Polignac number, because 251114585411089 - 2¹ = 251114585411087 is a prime.

It is a super-2 number, since 2×251114585411089² (a number of 30 digits) contains 22 as substring.

Together with 251114585411087, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (251114585411087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125557292705544 + 125557292705545.

It is an arithmetic number, because the mean of its divisors is an integer number (125557292705545).

Almost surely, 2^{251114585411089} is an apocalyptic number.

It is an amenable number.

251114585411089 is a deficient number, since it is larger than the sum of its proper divisors (1).

251114585411089 is an equidigital number, since it uses as much as digits as its factorization.

251114585411089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304000, while the sum is 55.

The spelling of 251114585411089 in words is "two hundred fifty-one trillion, one hundred fourteen billion, five hundred eighty-five million, four hundred eleven thousand, eighty-nine".