2251151316517 has 2 divisors, whose sum is σ = 2251151316518. Its totient is φ = 2251151316516.

The previous prime is 2251151316461. The next prime is 2251151316529. The reversal of 2251151316517 is 7156131511522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2113516994436 + 137634322081 = 1453794^2 + 370991^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251151316517 - 2²³ = 2251142927909 is a prime.

It is a super-2 number, since 2×2251151316517² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2251151316517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2251151310517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125575658258 + 1125575658259.

It is an arithmetic number, because the mean of its divisors is an integer number (1125575658259).

Almost surely, 2^{2251151316517} is an apocalyptic number.

It is an amenable number.

2251151316517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251151316517 is an equidigital number, since it uses as much as digits as its factorization.

2251151316517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63000, while the sum is 40.

The spelling of 2251151316517 in words is "two trillion, two hundred fifty-one billion, one hundred fifty-one million, three hundred sixteen thousand, five hundred seventeen".