523535405512993 has 2 divisors, whose sum is σ = 523535405512994. Its totient is φ = 523535405512992.

The previous prime is 523535405512963. The next prime is 523535405513009. The reversal of 523535405512993 is 399215504535325.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 508241494700944 + 15293910812049 = 22544212^2 + 3910743^2 .

It is a cyclic number.

It is not a de Polignac number, because 523535405512993 - 2⁹ = 523535405512481 is a prime.

It is not a weakly prime, because it can be changed into another prime (523535405512963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261767702756496 + 261767702756497.

It is an arithmetic number, because the mean of its divisors is an integer number (261767702756497).

Almost surely, 2^{523535405512993} is an apocalyptic number.

It is an amenable number.

523535405512993 is a deficient number, since it is larger than the sum of its proper divisors (1).

523535405512993 is an equidigital number, since it uses as much as digits as its factorization.

523535405512993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 109350000, while the sum is 61.

The spelling of 523535405512993 in words is "five hundred twenty-three trillion, five hundred thirty-five billion, four hundred five million, five hundred twelve thousand, nine hundred ninety-three".