2505671758693 has 2 divisors, whose sum is σ = 2505671758694. Its totient is φ = 2505671758692.

The previous prime is 2505671758661. The next prime is 2505671758699. The reversal of 2505671758693 is 3968571765052.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1381736773729 + 1123934984964 = 1175473^2 + 1060158^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505671758693 - 2⁵ = 2505671758661 is a prime.

It is a super-3 number, since 3×2505671758693³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505671758699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252835879346 + 1252835879347.

It is an arithmetic number, because the mean of its divisors is an integer number (1252835879347).

Almost surely, 2^{2505671758693} is an apocalyptic number.

It is an amenable number.

2505671758693 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505671758693 is an equidigital number, since it uses as much as digits as its factorization.

2505671758693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 95256000, while the sum is 64.

The spelling of 2505671758693 in words is "two trillion, five hundred five billion, six hundred seventy-one million, seven hundred fifty-eight thousand, six hundred ninety-three".