2557558053001 has 32 divisors (see below), whose sum is σ = 3262396849920. Its totient is φ = 1951858944000.

The previous prime is 2557558052983. The next prime is 2557558053007. The reversal of 2557558053001 is 1003508557552.

2557558053001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2557558053001 - 2⁵ = 2557558052969 is a prime.

It is a super-2 number, since 2×2557558053001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2557558053007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778141 + ... + 2391781.

It is an arithmetic number, because the mean of its divisors is an integer number (101949901560).

Almost surely, 2^{2557558053001} is an apocalyptic number.

It is an amenable number.

2557558053001 is a deficient number, since it is larger than the sum of its proper divisors (704838796919).

2557558053001 is a wasteful number, since it uses less digits than its factorization.

2557558053001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614385.

The product of its (nonzero) digits is 1050000, while the sum is 46.

The spelling of 2557558053001 in words is "two trillion, five hundred fifty-seven billion, five hundred fifty-eight million, fifty-three thousand, one".