2505505027997 has 2 divisors, whose sum is σ = 2505505027998. Its totient is φ = 2505505027996.

The previous prime is 2505505027919. The next prime is 2505505028003. The reversal of 2505505027997 is 7997205055052.

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., 1828956007321 + 676549020676 = 1352389^2 + 822526^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505505027997 - 2²⁴ = 2505488250781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505505027297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252752513998 + 1252752513999.

It is an arithmetic number, because the mean of its divisors is an integer number (1252752513999).

Almost surely, 2^{2505505027997} is an apocalyptic number.

It is an amenable number.

2505505027997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505505027997 is an equidigital number, since it uses as much as digits as its factorization.

2505505027997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9922500, while the sum is 56.

The spelling of 2505505027997 in words is "two trillion, five hundred five billion, five hundred five million, twenty-seven thousand, nine hundred ninety-seven".