2505052100 has 36 divisors (see below), whose sum is σ = 5439690900. Its totient is φ = 1001333760.

The previous prime is 2505052073. The next prime is 2505052141. The reversal of 2505052100 is 12505052.

It can be written as a sum of positive squares in 6 ways, for example, as 31382404 + 2473669696 = 5602^2 + 49736^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153116 + ... + 168684.

It is an arithmetic number, because the mean of its divisors is an integer number (151102525).

Almost surely, 2^2505052100 is an apocalyptic number.

2505052100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505052100 is an abundant number, since it is smaller than the sum of its proper divisors (2934638800).

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

2505052100 is a wasteful number, since it uses less digits than its factorization.

2505052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17192 (or 17185 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 2505052100 is about 50050.4955020427. The cubic root of 2505052100 is about 1358.1224270971.

Adding to 2505052100 its reverse (12505052), we get a palindrome (2517557152).

The spelling of 2505052100 in words is "two billion, five hundred five million, fifty-two thousand, one hundred".