2505793891617 has 12 divisors (see below), whose sum is σ = 3753534883280. Its totient is φ = 1670529260916.

The previous prime is 2505793891567. The next prime is 2505793891663. The reversal of 2505793891617 is 7161983975052.

2505793891617 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 7 + 9 + 3 + 8 + 9 + 1 + 617 = 666.

2505793891617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2505793891617 - 2¹⁸ = 2505793629473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2505793891717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5155954267 + ... + 5155954752.

Almost surely, 2^{2505793891617} is an apocalyptic number.

2505793891617 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2505793891617 is a deficient number, since it is larger than the sum of its proper divisors (1247740991663).

2505793891617 is an equidigital number, since it uses as much as digits as its factorization.

2505793891617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10311909034 (or 10311909022 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 2505793891617 in words is "two trillion, five hundred five billion, seven hundred ninety-three million, eight hundred ninety-one thousand, six hundred seventeen".