2501120066657 has 2 divisors, whose sum is σ = 2501120066658. Its totient is φ = 2501120066656.

The previous prime is 2501120066623. The next prime is 2501120066677. The reversal of 2501120066657 is 7566600211052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2473671529681 + 27448536976 = 1572791^2 + 165676^2 .

It is a cyclic number.

It is not a de Polignac number, because 2501120066657 - 2⁶ = 2501120066593 is a prime.

It is a super-2 number, since 2×2501120066657² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2501120066677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1250560033328 + 1250560033329.

It is an arithmetic number, because the mean of its divisors is an integer number (1250560033329).

Almost surely, 2^{2501120066657} is an apocalyptic number.

It is an amenable number.

2501120066657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2501120066657 is an equidigital number, since it uses as much as digits as its factorization.

2501120066657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 2501120066657 in words is "two trillion, five hundred one billion, one hundred twenty million, sixty-six thousand, six hundred fifty-seven".