9215808001 has 9 divisors (see below), whose sum is σ = 9791536899. Its totient is φ = 8672165664.

The previous prime is 9215807989. The next prime is 9215808047. The reversal of 9215808001 is 1008085129.

The square root of 9215808001 is 95999.

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., 7174937025 + 2040870976 = 84705^2 + 45176^2 .

It is not a de Polignac number, because 9215808001 - 2²³ = 9207419393 is a prime.

It is a super-2 number, since 2×9215808001² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9215808071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1629160 + ... + 1634806.

Almost surely, 2^9215808001 is an apocalyptic number.

9215808001 is the 95999-th square number.

9215808001 is the 48000-th centered octagonal number.

It is an amenable number.

9215808001 is a deficient number, since it is larger than the sum of its proper divisors (575728898).

9215808001 is an frugal number, since it uses more digits than its factorization.

9215808001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The cubic root of 9215808001 is about 2096.5785556674.

It can be divided in two parts, 9215 and 808001, that added together give a square (817216 = 904²).

The spelling of 9215808001 in words is "nine billion, two hundred fifteen million, eight hundred eight thousand, one".