2553085865161 has 16 divisors (see below), whose sum is σ = 2756545157520. Its totient is φ = 2350637752320.

The previous prime is 2553085865153. The next prime is 2553085865167. The reversal of 2553085865161 is 1615685803552.

It can be written as a sum of positive squares in 8 ways, for example, as 446465848761 + 2106620016400 = 668181^2 + 1451420^2 .

It is not a de Polignac number, because 2553085865161 - 2³ = 2553085865153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2553085865167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50278761 + ... + 50329513.

It is an arithmetic number, because the mean of its divisors is an integer number (172284072345).

Almost surely, 2^{2553085865161} is an apocalyptic number.

It is an amenable number.

2553085865161 is a deficient number, since it is larger than the sum of its proper divisors (203459292359).

2553085865161 is a wasteful number, since it uses less digits than its factorization.

2553085865161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60636.

The product of its (nonzero) digits is 8640000, while the sum is 55.

The spelling of 2553085865161 in words is "two trillion, five hundred fifty-three billion, eighty-five million, eight hundred sixty-five thousand, one hundred sixty-one".