2553177242511 has 64 divisors (see below), whose sum is σ = 4432131056640. Its totient is φ = 1422134599680.

The previous prime is 2553177242503. The next prime is 2553177242519. The reversal of 2553177242511 is 1152427713552.

2553177242511 is a `hidden beast` number, since 2 + 5 + 53 + 17 + 72 + 4 + 2 + 511 = 666.

It is an interprime number because it is at equal distance from previous prime (2553177242503) and next prime (2553177242519).

It is not a de Polignac number, because 2553177242511 - 2³ = 2553177242503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553177242519) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8791716 + ... + 9077478.

It is an arithmetic number, because the mean of its divisors is an integer number (69252047760).

Almost surely, 2^{2553177242511} is an apocalyptic number.

2553177242511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2553177242511 is a deficient number, since it is larger than the sum of its proper divisors (1878953814129).

2553177242511 is a wasteful number, since it uses less digits than its factorization.

2553177242511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286973 (or 286967 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The spelling of 2553177242511 in words is "two trillion, five hundred fifty-three billion, one hundred seventy-seven million, two hundred forty-two thousand, five hundred eleven".