75921636209857 has 2 divisors, whose sum is σ = 75921636209858. Its totient is φ = 75921636209856.

The previous prime is 75921636209773. The next prime is 75921636209927. The reversal of 75921636209857 is 75890263612957.

It is a happy number.

It is an a-pointer prime, because the next prime (75921636209927) can be obtained adding 75921636209857 to its sum of digits (70).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43406368899201 + 32515267310656 = 6588351^2 + 5702216^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75921636209857 is a prime.

It is a super-2 number, since 2×75921636209857² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (75921636219857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37960818104928 + 37960818104929.

It is an arithmetic number, because the mean of its divisors is an integer number (37960818104929).

Almost surely, 2^{75921636209857} is an apocalyptic number.

It is an amenable number.

75921636209857 is a deficient number, since it is larger than the sum of its proper divisors (1).

75921636209857 is an equidigital number, since it uses as much as digits as its factorization.

75921636209857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 342921600, while the sum is 70.

The spelling of 75921636209857 in words is "seventy-five trillion, nine hundred twenty-one billion, six hundred thirty-six million, two hundred nine thousand, eight hundred fifty-seven".