2551557905757 has 48 divisors (see below), whose sum is σ = 4246480897152. Its totient is φ = 1446148753920.

The previous prime is 2551557905737. The next prime is 2551557905837. The reversal of 2551557905757 is 7575097551552.

It is a happy number.

2551557905757 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 5 + 57 + 9 + 0 + 575 + 7 = 666.

It is not a de Polignac number, because 2551557905757 - 2²⁴ = 2551541128541 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2551557905694 and 2551557905703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551557905717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9980673 + ... + 10233129.

It is an arithmetic number, because the mean of its divisors is an integer number (88468352024).

Almost surely, 2^{2551557905757} is an apocalyptic number.

It is an amenable number.

2551557905757 is a deficient number, since it is larger than the sum of its proper divisors (1694922991395).

2551557905757 is a wasteful number, since it uses less digits than its factorization.

2551557905757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253778 (or 253775 counting only the distinct ones).

The product of its (nonzero) digits is 96468750, while the sum is 63.

The spelling of 2551557905757 in words is "two trillion, five hundred fifty-one billion, five hundred fifty-seven million, nine hundred five thousand, seven hundred fifty-seven".