2251151316513 has 24 divisors (see below), whose sum is σ = 3587125707360. Its totient is φ = 1349004528960.

The previous prime is 2251151316461. The next prime is 2251151316517. The reversal of 2251151316513 is 3156131511522.

2251151316513 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 1 + 5 + 131 + 6 + 513 = 666.

It is not a de Polignac number, because 2251151316513 - 2²⁵ = 2251117762081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2251151316517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127737831 + ... + 127755452.

It is an arithmetic number, because the mean of its divisors is an integer number (149463571140).

Almost surely, 2^{2251151316513} is an apocalyptic number.

It is an amenable number.

2251151316513 is a deficient number, since it is larger than the sum of its proper divisors (1335974390847).

2251151316513 is a wasteful number, since it uses less digits than its factorization.

2251151316513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255493389 (or 255493386 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The spelling of 2251151316513 in words is "two trillion, two hundred fifty-one billion, one hundred fifty-one million, three hundred sixteen thousand, five hundred thirteen".