2505231600138 has 48 divisors (see below), whose sum is σ = 5748161215680. Its totient is φ = 785836695168.

The previous prime is 2505231600133. The next prime is 2505231600163. The reversal of 2505231600138 is 8310061325052.

2505231600138 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 2 + 31 + 600 + 13 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2505231600133) 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 23 ways as a sum of consecutive naturals, for example, 1430881 + ... + 2656667.

It is an arithmetic number, because the mean of its divisors is an integer number (119753358660).

Almost surely, 2^{2505231600138} is an apocalyptic number.

2505231600138 is an abundant number, since it is smaller than the sum of its proper divisors (3242929615542).

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

2505231600138 is a wasteful number, since it uses less digits than its factorization.

2505231600138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232491 (or 1232488 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2505231600138 in words is "two trillion, five hundred five billion, two hundred thirty-one million, six hundred thousand, one hundred thirty-eight".