2153765262017 has 2 divisors, whose sum is σ = 2153765262018. Its totient is φ = 2153765262016.

The previous prime is 2153765262001. The next prime is 2153765262043. The reversal of 2153765262017 is 7102625673512.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1744576038976 + 409189223041 = 1320824^2 + 639679^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153765262017 - 2⁴ = 2153765262001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2153765262917) 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, 1076882631008 + 1076882631009.

It is an arithmetic number, because the mean of its divisors is an integer number (1076882631009).

Almost surely, 2^{2153765262017} is an apocalyptic number.

It is an amenable number.

2153765262017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153765262017 is an equidigital number, since it uses as much as digits as its factorization.

2153765262017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 2153765262017 in words is "two trillion, one hundred fifty-three billion, seven hundred sixty-five million, two hundred sixty-two thousand, seventeen".