2505262983 has 16 divisors (see below), whose sum is σ = 3388128480. Its totient is φ = 1646313984.

The previous prime is 2505262961. The next prime is 2505262999. The reversal of 2505262983 is 3892625052.

2505262983 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2505262983 - 2⁵ = 2505262951 is a prime.

It is a super-2 number, since 2×2505262983² = 12552685227980116578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505262913) 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, 648285 + ... + 652137.

It is an arithmetic number, because the mean of its divisors is an integer number (211758030).

Almost surely, 2^2505262983 is an apocalyptic number.

2505262983 is a deficient number, since it is larger than the sum of its proper divisors (882865497).

2505262983 is a wasteful number, since it uses less digits than its factorization.

2505262983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6898.

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 2505262983 is about 50052.6021601275. The cubic root of 2505262983 is about 1358.1605363372.

The spelling of 2505262983 in words is "two billion, five hundred five million, two hundred sixty-two thousand, nine hundred eighty-three".