2551091854113 has 36 divisors (see below), whose sum is σ = 4095865895940. Its totient is φ = 1528744124160.

The previous prime is 2551091854097. The next prime is 2551091854117. The reversal of 2551091854113 is 3114581901552.

2551091854113 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 0 + 91 + 8 + 541 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1410089750784 + 1141002103329 = 1187472^2 + 1068177^2 .

It is not a de Polignac number, because 2551091854113 - 2⁴ = 2551091854097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2551091854117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13063756 + ... + 13257597.

It is an arithmetic number, because the mean of its divisors is an integer number (113774052665).

Almost surely, 2^{2551091854113} is an apocalyptic number.

It is an amenable number.

2551091854113 is a deficient number, since it is larger than the sum of its proper divisors (1544774041827).

2551091854113 is a wasteful number, since it uses less digits than its factorization.

2551091854113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26321470 (or 26321456 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 2551091854113 in words is "two trillion, five hundred fifty-one billion, ninety-one million, eight hundred fifty-four thousand, one hundred thirteen".