2505125431152 has 160 divisors (see below), whose sum is σ = 7374426131520. Its totient is φ = 813745152000.

The previous prime is 2505125431117. The next prime is 2505125431163. The reversal of 2505125431152 is 2511345215052.

2505125431152 is a `hidden beast` number, since 2 + 5 + 0 + 51 + 2 + 543 + 11 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15524002 + ... + 15684542.

It is an arithmetic number, because the mean of its divisors is an integer number (46090163322).

Almost surely, 2^{2505125431152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505125431152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687213065760).

2505125431152 is an abundant number, since it is smaller than the sum of its proper divisors (4869300700368).

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

2505125431152 is a wasteful number, since it uses less digits than its factorization.

2505125431152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161480 (or 161468 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 2505125431152 in words is "two trillion, five hundred five billion, one hundred twenty-five million, four hundred thirty-one thousand, one hundred fifty-two".