2505995052 has 48 divisors (see below), whose sum is σ = 6551311872. Its totient is φ = 738866880.

The previous prime is 2505995033. The next prime is 2505995057.

2505995052 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2505995052² = 12560022401296965408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2505994995 and 2505995013.

It is not an unprimeable number, because it can be changed into a prime (2505995057) by changing a digit.

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, 251668 + ... + 261435.

It is an arithmetic number, because the mean of its divisors is an integer number (136485664).

Almost surely, 2^2505995052 is an apocalyptic number.

2505995052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2505995052 is an abundant number, since it is smaller than the sum of its proper divisors (4045316820).

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

2505995052 is a wasteful number, since it uses less digits than its factorization.

2505995052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513158 (or 513156 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 42.

The square root of 2505995052 is about 50059.9146223803. The cubic root of 2505995052 is about 1358.2928139201.

The spelling of 2505995052 in words is "two billion, five hundred five million, nine hundred ninety-five thousand, fifty-two".