2505557835 has 96 divisors (see below), whose sum is σ = 5280837120. Its totient is φ = 1083110400.

The previous prime is 2505557809. The next prime is 2505557849. The reversal of 2505557835 is 5387555052.

2505557835 is a `hidden beast` number, since 25 + 0 + 55 + 578 + 3 + 5 = 666.

It is not a de Polignac number, because 2505557835 - 2⁶ = 2505557771 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152050 + ... + 167720.

It is an arithmetic number, because the mean of its divisors is an integer number (55008720).

Almost surely, 2^2505557835 is an apocalyptic number.

2505557835 is an abundant number, since it is smaller than the sum of its proper divisors (2775279285).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2505557835 is a wasteful number, since it uses less digits than its factorization.

2505557835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15729 (or 15726 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The square root of 2505557835 is about 50055.5474947583. The cubic root of 2505557835 is about 1358.2138162581.

The spelling of 2505557835 in words is "two billion, five hundred five million, five hundred fifty-seven thousand, eight hundred thirty-five".