2553111617661 has 64 divisors (see below), whose sum is σ = 4388209551360. Its totient is φ = 1449904193280.

The previous prime is 2553111617657. The next prime is 2553111617681. The reversal of 2553111617661 is 1667161113552.

2553111617661 is a `hidden beast` number, since 2 + 55 + 311 + 161 + 76 + 61 = 666.

2553111617661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2553111617661 - 2² = 2553111617657 is a prime.

It is a super-2 number, since 2×2553111617661² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553111617611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32320 + ... + 2259926.

It is an arithmetic number, because the mean of its divisors is an integer number (68565774240).

Almost surely, 2^{2553111617661} is an apocalyptic number.

It is an amenable number.

2553111617661 is a deficient number, since it is larger than the sum of its proper divisors (1835097933699).

2553111617661 is a wasteful number, since it uses less digits than its factorization.

2553111617661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227871 (or 2227865 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 2553111617661 in words is "two trillion, five hundred fifty-three billion, one hundred eleven million, six hundred seventeen thousand, six hundred sixty-one".