2501517053953 has 8 divisors (see below), whose sum is σ = 2606665144680. Its totient is φ = 2397628222080.

The previous prime is 2501517053941. The next prime is 2501517054007. The reversal of 2501517053953 is 3593507151052.

It can be written as a sum of positive squares in 4 ways, for example, as 864570811329 + 1636946242624 = 929823^2 + 1279432^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2501517053953 - 2²⁵ = 2501483499521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2501517053053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314810658 + ... + 314818603.

It is an arithmetic number, because the mean of its divisors is an integer number (325833143085).

Almost surely, 2^{2501517053953} is an apocalyptic number.

It is an amenable number.

2501517053953 is a deficient number, since it is larger than the sum of its proper divisors (105148090727).

2501517053953 is a wasteful number, since it uses less digits than its factorization.

2501517053953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629629427.

The product of its (nonzero) digits is 708750, while the sum is 46.

The spelling of 2501517053953 in words is "two trillion, five hundred one billion, five hundred seventeen million, fifty-three thousand, nine hundred fifty-three".