2501517053952 has 1248 divisors, whose sum is σ = 9004569436800. Its totient is φ = 692270530560.

The previous prime is 2501517053941. The next prime is 2501517054007. The reversal of 2501517053952 is 2593507151052.

2501517053952 is a `hidden beast` number, since 2 + 50 + 1 + 5 + 17 + 0 + 539 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2501517053898 and 2501517053907.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17996525499 + ... + 17996525637.

Almost surely, 2^{2501517053952} 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 2501517053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502284718400).

2501517053952 is an abundant number, since it is smaller than the sum of its proper divisors (6503052382848).

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

2501517053952 is an frugal number, since it uses more digits than its factorization.

2501517053952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 2501517053952 in words is "two trillion, five hundred one billion, five hundred seventeen million, fifty-three thousand, nine hundred fifty-two".