2553132505 has 128 divisors (see below), whose sum is σ = 4354560000. Its totient is φ = 1415715840.

The previous prime is 2553132493. The next prime is 2553132511. The reversal of 2553132505 is 5052313552.

It is a de Polignac number, because none of the positive numbers 2^k-2553132505 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6093186 + ... + 6093604.

It is an arithmetic number, because the mean of its divisors is an integer number (34020000).

Almost surely, 2^2553132505 is an apocalyptic number.

It is an amenable number.

2553132505 is a deficient number, since it is larger than the sum of its proper divisors (1801427495).

2553132505 is a wasteful number, since it uses less digits than its factorization.

2553132505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 31.

The square root of 2553132505 is about 50528.5315935462. The cubic root of 2553132505 is about 1366.7564065271.

The spelling of 2553132505 in words is "two billion, five hundred fifty-three million, one hundred thirty-two thousand, five hundred five".