77597029540993 has 2 divisors, whose sum is σ = 77597029540994. Its totient is φ = 77597029540992.

The previous prime is 77597029540907. The next prime is 77597029541023. The reversal of 77597029540993 is 39904592079577.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41410151645184 + 36186877895809 = 6435072^2 + 6015553^2 .

It is a cyclic number.

It is not a de Polignac number, because 77597029540993 - 2⁴⁵ = 42412657452161 is a prime.

It is not a weakly prime, because it can be changed into another prime (77597020540993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38798514770496 + 38798514770497.

It is an arithmetic number, because the mean of its divisors is an integer number (38798514770497).

Almost surely, 2^{77597029540993} is an apocalyptic number.

It is an amenable number.

77597029540993 is a deficient number, since it is larger than the sum of its proper divisors (1).

77597029540993 is an equidigital number, since it uses as much as digits as its factorization.

77597029540993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350253800, while the sum is 76.

The spelling of 77597029540993 in words is "seventy-seven trillion, five hundred ninety-seven billion, twenty-nine million, five hundred forty thousand, nine hundred ninety-three".