2553056000001 has 24 divisors (see below), whose sum is σ = 3987899411496. Its totient is φ = 1564592232960.

The previous prime is 2553055999973. The next prime is 2553056000029. The reversal of 2553056000001 is 1000006503552.

2553056000001 is a `hidden beast` number, since 2 + 5 + 53 + 0 + 5 + 600 + 0 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2553055999973) and next prime (2553056000029).

It can be written as a sum of positive squares in 4 ways, for example, as 906456326400 + 1646599673601 = 952080^2 + 1283199^2 .

It is not a de Polignac number, because 2553056000001 - 2⁷ = 2553055999873 is a prime.

It is a super-2 number, since 2×2553056000001² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2553056000501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45243570 + ... + 45299963.

It is an arithmetic number, because the mean of its divisors is an integer number (166162475479).

Almost surely, 2^{2553056000001} is an apocalyptic number.

It is an amenable number.

2553056000001 is a deficient number, since it is larger than the sum of its proper divisors (1434843411495).

2553056000001 is a wasteful number, since it uses less digits than its factorization.

2553056000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90543793 (or 90543790 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 2553056000001 in words is "two trillion, five hundred fifty-three billion, fifty-six million, one", and thus it is an aban number.