90319863558601 has 2 divisors, whose sum is σ = 90319863558602. Its totient is φ = 90319863558600.

The previous prime is 90319863558541. The next prime is 90319863558623. The reversal of 90319863558601 is 10685536891309.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89208686151225 + 1111177407376 = 9445035^2 + 1054124^2 .

It is a cyclic number.

It is not a de Polignac number, because 90319863558601 - 2¹¹ = 90319863556553 is a prime.

It is a super-2 number, since 2×90319863558601² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90319863558401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45159931779300 + 45159931779301.

It is an arithmetic number, because the mean of its divisors is an integer number (45159931779301).

Almost surely, 2^{90319863558601} is an apocalyptic number.

It is an amenable number.

90319863558601 is a deficient number, since it is larger than the sum of its proper divisors (1).

90319863558601 is an equidigital number, since it uses as much as digits as its factorization.

90319863558601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41990400, while the sum is 64.

The spelling of 90319863558601 in words is "ninety trillion, three hundred nineteen billion, eight hundred sixty-three million, five hundred fifty-eight thousand, six hundred one".