102573551137817 has 2 divisors, whose sum is σ = 102573551137818. Its totient is φ = 102573551137816.

The previous prime is 102573551137769. The next prime is 102573551137909. The reversal of 102573551137817 is 718731155375201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92180948390281 + 10392602747536 = 9601091^2 + 3223756^2 .

It is a cyclic number.

It is not a de Polignac number, because 102573551137817 - 2¹⁶ = 102573551072281 is a prime.

It is not a weakly prime, because it can be changed into another prime (102573551137217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51286775568908 + 51286775568909.

It is an arithmetic number, because the mean of its divisors is an integer number (51286775568909).

Almost surely, 2^{102573551137817} is an apocalyptic number.

It is an amenable number.

102573551137817 is a deficient number, since it is larger than the sum of its proper divisors (1).

102573551137817 is an equidigital number, since it uses as much as digits as its factorization.

102573551137817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6174000, while the sum is 56.

The spelling of 102573551137817 in words is "one hundred two trillion, five hundred seventy-three billion, five hundred fifty-one million, one hundred thirty-seven thousand, eight hundred seventeen".