2527967824117 has 2 divisors, whose sum is σ = 2527967824118. Its totient is φ = 2527967824116.

The previous prime is 2527967824093. The next prime is 2527967824153. The reversal of 2527967824117 is 7114287697252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2505132383121 + 22835440996 = 1582761^2 + 151114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2527967824117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2527967822117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1263983912058 + 1263983912059.

It is an arithmetic number, because the mean of its divisors is an integer number (1263983912059).

Almost surely, 2^{2527967824117} is an apocalyptic number.

It is an amenable number.

2527967824117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2527967824117 is an equidigital number, since it uses as much as digits as its factorization.

2527967824117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23708160, while the sum is 61.

The spelling of 2527967824117 in words is "two trillion, five hundred twenty-seven billion, nine hundred sixty-seven million, eight hundred twenty-four thousand, one hundred seventeen".