90501310000993 has 2 divisors, whose sum is σ = 90501310000994. Its totient is φ = 90501310000992.

The previous prime is 90501310000987. The next prime is 90501310001057. The reversal of 90501310000993 is 39900001310509.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85005136151329 + 5496173849664 = 9219823^2 + 2344392^2 .

It is a cyclic number.

It is not a de Polignac number, because 90501310000993 - 2³⁷ = 90363871047521 is a prime.

It is a super-2 number, since 2×90501310000993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90501310000973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45250655000496 + 45250655000497.

It is an arithmetic number, because the mean of its divisors is an integer number (45250655000497).

Almost surely, 2^{90501310000993} is an apocalyptic number.

It is an amenable number.

90501310000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

90501310000993 is an equidigital number, since it uses as much as digits as its factorization.

90501310000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32805, while the sum is 40.

The spelling of 90501310000993 in words is "ninety trillion, five hundred one billion, three hundred ten million, nine hundred ninety-three", and thus it is an aban number.