2505527525555 has 16 divisors (see below), whose sum is σ = 3010101554304. Its totient is φ = 2002110606720.

The previous prime is 2505527525509. The next prime is 2505527525563. The reversal of 2505527525555 is 5555257255052.

It is not a de Polignac number, because 2505527525555 - 2²² = 2505523331251 is a prime.

It is a super-2 number, since 2×2505527525555² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2505527525497 and 2505527525506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22356710 + ... + 22468500.

It is an arithmetic number, because the mean of its divisors is an integer number (188131347144).

Almost surely, 2^{2505527525555} is an apocalyptic number.

2505527525555 is a deficient number, since it is larger than the sum of its proper divisors (504574028749).

2505527525555 is a wasteful number, since it uses less digits than its factorization.

2505527525555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116926.

The product of its (nonzero) digits is 21875000, while the sum is 53.

The spelling of 2505527525555 in words is "two trillion, five hundred five billion, five hundred twenty-seven million, five hundred twenty-five thousand, five hundred fifty-five".