2053525304331 has 56 divisors (see below), whose sum is σ = 3115009287936. Its totient is φ = 1353005279280.

The previous prime is 2053525304293. The next prime is 2053525304371. The reversal of 2053525304331 is 1334035253502.

2053525304331 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 52 + 530 + 43 + 31 = 666.

It is not a de Polignac number, because 2053525304331 - 2⁶ = 2053525304267 is a prime.

It is a super-2 number, since 2×2053525304331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2053525304371) 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 55 ways as a sum of consecutive naturals, for example, 37741576 + ... + 37795946.

It is an arithmetic number, because the mean of its divisors is an integer number (55625165856).

Almost surely, 2^{2053525304331} is an apocalyptic number.

2053525304331 is a deficient number, since it is larger than the sum of its proper divisors (1061483983605).

2053525304331 is an equidigital number, since it uses as much as digits as its factorization.

2053525304331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54995 (or 54980 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 2053525304331 in words is "two trillion, fifty-three billion, five hundred twenty-five million, three hundred four thousand, three hundred thirty-one".