90330903601 has 9 divisors (see below), whose sum is σ = 92849692971. Its totient is φ = 87878707992.

The previous prime is 90330903589. The next prime is 90330903617. The reversal of 90330903601 is 10630903309.

It is a happy number.

The square root of 90330903601 is 300551.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80829333025 + 9501570576 = 284305^2 + 97476^2 .

It is not a de Polignac number, because 90330903601 - 2⁵ = 90330903569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90330903001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11116326 + ... + 11124448.

Almost surely, 2^90330903601 is an apocalyptic number.

90330903601 is the 300551-st square number.

90330903601 is the 150276-th centered octagonal number.

It is an amenable number.

90330903601 is a deficient number, since it is larger than the sum of its proper divisors (2518789370).

90330903601 is an frugal number, since it uses more digits than its factorization.

90330903601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16320 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 34.

The spelling of 90330903601 in words is "ninety billion, three hundred thirty million, nine hundred three thousand, six hundred one".