2505431225120 has 96 divisors (see below), whose sum is σ = 6267877758576. Its totient is φ = 943128576000.

The previous prime is 2505431225117. The next prime is 2505431225161. The reversal of 2505431225120 is 215221345052.

It can be written as a sum of positive squares in 8 ways, for example, as 1905382686736 + 600048538384 = 1380356^2 + 774628^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31787360 + ... + 31866080.

Almost surely, 2^{2505431225120} is an apocalyptic number.

2505431225120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505431225120 is an abundant number, since it is smaller than the sum of its proper divisors (3762446533456).

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

2505431225120 is a wasteful number, since it uses less digits than its factorization.

2505431225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90454 (or 90446 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 2505431225120 in words is "two trillion, five hundred five billion, four hundred thirty-one million, two hundred twenty-five thousand, one hundred twenty".