2053261180161 has 24 divisors (see below), whose sum is σ = 2974227965696. Its totient is φ = 1364963957280.

The previous prime is 2053261180147. The next prime is 2053261180163. The reversal of 2053261180161 is 1610811623502.

2053261180161 is a `hidden beast` number, since 2 + 0 + 5 + 32 + 611 + 8 + 0 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 2053261180161 - 2²¹ = 2053259083009 is a prime.

It is a super-2 number, since 2×2053261180161² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2053261180163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8224176 + ... + 8470158.

Almost surely, 2^{2053261180161} is an apocalyptic number.

It is an amenable number.

2053261180161 is a deficient number, since it is larger than the sum of its proper divisors (920966785535).

2053261180161 is a wasteful number, since it uses less digits than its factorization.

2053261180161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248613 (or 248610 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2053261180161 in words is "two trillion, fifty-three billion, two hundred sixty-one million, one hundred eighty thousand, one hundred sixty-one".