2505713100 has 144 divisors (see below), whose sum is σ = 8181976320. Its totient is φ = 586476800.

The previous prime is 2505713057. The next prime is 2505713117. The reversal of 2505713100 is 13175052.

It is a super-2 number, since 2×2505713100² = 12557196279023220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82609 + ... + 108791.

It is an arithmetic number, because the mean of its divisors is an integer number (56819280).

Almost surely, 2^2505713100 is an apocalyptic number.

2505713100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090988160).

2505713100 is an abundant number, since it is smaller than the sum of its proper divisors (5676263220).

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

2505713100 is a wasteful number, since it uses less digits than its factorization.

2505713100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26240 (or 26233 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 2505713100 is about 50057.0983977298. The cubic root of 2505713100 is about 1358.2418710502.

Adding to 2505713100 its reverse (13175052), we get a palindrome (2518888152).

The spelling of 2505713100 in words is "two billion, five hundred five million, seven hundred thirteen thousand, one hundred".