2542521256657 has 16 divisors (see below), whose sum is σ = 2758505766912. Its totient is φ = 2333949575680.

The previous prime is 2542521256637. The next prime is 2542521256663. The reversal of 2542521256657 is 7566521252452.

It is a cyclic number.

It is not a de Polignac number, because 2542521256657 - 2³⁹ = 1992765442769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2542521256607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2021808 + ... + 3028654.

It is an arithmetic number, because the mean of its divisors is an integer number (172406610432).

Almost surely, 2^{2542521256657} is an apocalyptic number.

It is an amenable number.

2542521256657 is a deficient number, since it is larger than the sum of its proper divisors (215984510255).

2542521256657 is a wasteful number, since it uses less digits than its factorization.

2542521256657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010528.

The product of its digits is 10080000, while the sum is 52.

The spelling of 2542521256657 in words is "two trillion, five hundred forty-two billion, five hundred twenty-one million, two hundred fifty-six thousand, six hundred fifty-seven".