2053766259153 has 12 divisors (see below), whose sum is σ = 3390344300928. Its totient is φ = 1173580719480.

The previous prime is 2053766259143. The next prime is 2053766259173. The reversal of 2053766259153 is 3519526673502.

2053766259153 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 7 + 6 + 625 + 9 + 1 + 5 + 3 = 666.

It is not a de Polignac number, because 2053766259153 - 2⁸ = 2053766258897 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2053766259153.

It is not an unprimeable number, because it can be changed into a prime (2053766259113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16299732153 + ... + 16299732278.

It is an arithmetic number, because the mean of its divisors is an integer number (282528691744).

Almost surely, 2^{2053766259153} is an apocalyptic number.

It is an amenable number.

2053766259153 is a deficient number, since it is larger than the sum of its proper divisors (1336578041775).

2053766259153 is a wasteful number, since it uses less digits than its factorization.

2053766259153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32599464444 (or 32599464441 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

It can be divided in two parts, 205376625 and 9153, that added together give a triangular number (205385778 = T₂₀₂₆₇).

The spelling of 2053766259153 in words is "two trillion, fifty-three billion, seven hundred sixty-six million, two hundred fifty-nine thousand, one hundred fifty-three".