90393375685537 has 2 divisors, whose sum is σ = 90393375685538. Its totient is φ = 90393375685536.

The previous prime is 90393375685511. The next prime is 90393375685549. The reversal of 90393375685537 is 73558657339309.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73520266764816 + 16873108920721 = 8574396^2 + 4107689^2 .

It is a cyclic number.

It is not a de Polignac number, because 90393375685537 - 2¹⁹ = 90393375161249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90393375685537.

It is not a weakly prime, because it can be changed into another prime (90393375685567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45196687842768 + 45196687842769.

It is an arithmetic number, because the mean of its divisors is an integer number (45196687842769).

Almost surely, 2^{90393375685537} is an apocalyptic number.

It is an amenable number.

90393375685537 is a deficient number, since it is larger than the sum of its proper divisors (1).

90393375685537 is an equidigital number, since it uses as much as digits as its factorization.

90393375685537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1928934000, while the sum is 73.

The spelling of 90393375685537 in words is "ninety trillion, three hundred ninety-three billion, three hundred seventy-five million, six hundred eighty-five thousand, five hundred thirty-seven".