90321321085009 has 9 divisors (see below), whose sum is σ = 105067736609097. Its totient is φ = 77418218193204.

The previous prime is 90321321084961. The next prime is 90321321085019. The reversal of 90321321085009 is 90058012312309.

The square root of 90321321085009 is 9503753.

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

It is not a de Polignac number, because 90321321085009 - 2²⁵ = 90321287530577 is a prime.

It is a super-2 number, since 2×90321321085009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90321321085019) 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, 65847432 + ... + 67205110.

Almost surely, 2^{90321321085009} is an apocalyptic number.

90321321085009 is the 9503753-rd square number.

90321321085009 is the 4751877-th centered octagonal number.

It is an amenable number.

90321321085009 is a deficient number, since it is larger than the sum of its proper divisors (14746415524088).

90321321085009 is an frugal number, since it uses more digits than its factorization.

90321321085009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715372 (or 1357686 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 90321321085009 in words is "ninety trillion, three hundred twenty-one billion, three hundred twenty-one million, eighty-five thousand, nine".