2505575101565 has 16 divisors (see below), whose sum is σ = 3056100468480. Its totient is φ = 1971522438720.

The previous prime is 2505575101537. The next prime is 2505575101567. The reversal of 2505575101565 is 5651015755052.

It is not a de Polignac number, because 2505575101565 - 2³⁶ = 2436855624829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505575101567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8324732 + ... + 8620458.

It is an arithmetic number, because the mean of its divisors is an integer number (191006279280).

Almost surely, 2^{2505575101565} is an apocalyptic number.

It is an amenable number.

2505575101565 is a deficient number, since it is larger than the sum of its proper divisors (550525366915).

2505575101565 is a wasteful number, since it uses less digits than its factorization.

2505575101565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323572.

The product of its (nonzero) digits is 1312500, while the sum is 47.

The spelling of 2505575101565 in words is "two trillion, five hundred five billion, five hundred seventy-five million, one hundred one thousand, five hundred sixty-five".