2053752663291 has 12 divisors (see below), whose sum is σ = 3185412294312. Its totient is φ = 1173572950368.

The previous prime is 2053752663283. The next prime is 2053752663299. The reversal of 2053752663291 is 1923662573502.

It is an interprime number because it is at equal distance from previous prime (2053752663283) and next prime (2053752663299).

It is not a de Polignac number, because 2053752663291 - 2³ = 2053752663283 is a prime.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2053752663299) 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, 6985553130 + ... + 6985553423.

It is an arithmetic number, because the mean of its divisors is an integer number (265451024526).

Almost surely, 2^{2053752663291} is an apocalyptic number.

2053752663291 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2053752663291 is a deficient number, since it is larger than the sum of its proper divisors (1131659631021).

2053752663291 is a wasteful number, since it uses less digits than its factorization.

2053752663291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13971106570 (or 13971106563 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 2053752663291 in words is "two trillion, fifty-three billion, seven hundred fifty-two million, six hundred sixty-three thousand, two hundred ninety-one".