2559501016257 has 128 divisors (see below), whose sum is σ = 3832593408000. Its totient is φ = 1512628024320.

The previous prime is 2559501016249. The next prime is 2559501016273. The reversal of 2559501016257 is 7526101059552.

It is not a de Polignac number, because 2559501016257 - 2³ = 2559501016249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2559501016057) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5212832782 + ... + 5212833272.

It is an arithmetic number, because the mean of its divisors is an integer number (29942136000).

Almost surely, 2^{2559501016257} is an apocalyptic number.

It is an amenable number.

2559501016257 is a deficient number, since it is larger than the sum of its proper divisors (1273092391743).

2559501016257 is a wasteful number, since it uses less digits than its factorization.

2559501016257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111.

The product of its (nonzero) digits is 945000, while the sum is 48.

The spelling of 2559501016257 in words is "two trillion, five hundred fifty-nine billion, five hundred one million, sixteen thousand, two hundred fifty-seven".