2505601120152 has 128 divisors (see below), whose sum is σ = 6783319388160. Its totient is φ = 766674478080.

The previous prime is 2505601120129. The next prime is 2505601120153. The reversal of 2505601120152 is 2510211065052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505601120153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304332228 + ... + 304340460.

It is an arithmetic number, because the mean of its divisors is an integer number (52994682720).

Almost surely, 2^{2505601120152} 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 2505601120152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391659694080).

2505601120152 is an abundant number, since it is smaller than the sum of its proper divisors (4277718268008).

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

2505601120152 is a wasteful number, since it uses less digits than its factorization.

2505601120152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13553 (or 13549 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 2505601120152 in words is "two trillion, five hundred five billion, six hundred one million, one hundred twenty thousand, one hundred fifty-two".