2251416016513 has 2 divisors, whose sum is σ = 2251416016514. Its totient is φ = 2251416016512.

The previous prime is 2251416016489. The next prime is 2251416016613. The reversal of 2251416016513 is 3156106141522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2249979000049 + 1437016464 = 1499993^2 + 37908^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251416016513 - 2¹⁷ = 2251415885441 is a prime.

It is a super-2 number, since 2×2251416016513² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2251416016013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125708008256 + 1125708008257.

It is an arithmetic number, because the mean of its divisors is an integer number (1125708008257).

Almost surely, 2^{2251416016513} is an apocalyptic number.

It is an amenable number.

2251416016513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251416016513 is an equidigital number, since it uses as much as digits as its factorization.

2251416016513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 2251416016513 in words is "two trillion, two hundred fifty-one billion, four hundred sixteen million, sixteen thousand, five hundred thirteen".