2505164053261 has 2 divisors, whose sum is σ = 2505164053262. Its totient is φ = 2505164053260.

The previous prime is 2505164053081. The next prime is 2505164053393. The reversal of 2505164053261 is 1623504615052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1523419964361 + 981744088900 = 1234269^2 + 990830^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505164053261 - 2⁹ = 2505164052749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505164051261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252582026630 + 1252582026631.

It is an arithmetic number, because the mean of its divisors is an integer number (1252582026631).

Almost surely, 2^{2505164053261} is an apocalyptic number.

It is an amenable number.

2505164053261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505164053261 is an equidigital number, since it uses as much as digits as its factorization.

2505164053261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 2505164053261 in words is "two trillion, five hundred five billion, one hundred sixty-four million, fifty-three thousand, two hundred sixty-one".