2552887141759 has 16 divisors (see below), whose sum is σ = 2670451660800. Its totient is φ = 2438071866720.

The previous prime is 2552887141747. The next prime is 2552887141837. The reversal of 2552887141759 is 9571417882552.

It is a cyclic number.

It is not a de Polignac number, because 2552887141759 - 2⁹ = 2552887141247 is a prime.

It is a super-2 number, since 2×2552887141759² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2552887141759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552887145759) 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, 1444842 + ... + 2682040.

It is an arithmetic number, because the mean of its divisors is an integer number (166903228800).

Almost surely, 2^{2552887141759} is an apocalyptic number.

2552887141759 is a deficient number, since it is larger than the sum of its proper divisors (117564519041).

2552887141759 is a wasteful number, since it uses less digits than its factorization.

2552887141759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238310.

The product of its digits is 56448000, while the sum is 64.

The spelling of 2552887141759 in words is "two trillion, five hundred fifty-two billion, eight hundred eighty-seven million, one hundred forty-one thousand, seven hundred fifty-nine".