2505101000 has 32 divisors (see below), whose sum is σ = 5861938680. Its totient is φ = 1002040000.

The previous prime is 2505100993. The next prime is 2505101057. The reversal of 2505101000 is 1015052.

It can be written as a sum of positive squares in 4 ways, for example, as 785008324 + 1720092676 = 28018^2 + 41474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1251551 + ... + 1253550.

Almost surely, 2^2505101000 is an apocalyptic number.

2505101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505101000 is an abundant number, since it is smaller than the sum of its proper divisors (3356837680).

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

2505101000 is a wasteful number, since it uses less digits than its factorization.

2505101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505122 (or 2505108 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 2505101000 is about 50050.9840063110. The cubic root of 2505101000 is about 1358.1312641395.

Adding to 2505101000 its reverse (1015052), we get a palindrome (2506116052).

The spelling of 2505101000 in words is "two billion, five hundred five million, one hundred one thousand".