90570300601 has 27 divisors (see below), whose sum is σ = 100876074159. Its totient is φ = 81256230000.

The previous prime is 90570300599. The next prime is 90570300659. The reversal of 90570300601 is 10600307509.

The square root of 90570300601 is 300949.

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., 63127065001 + 27443235600 = 251251^2 + 165660^2 .

It is not a de Polignac number, because 90570300601 - 2¹ = 90570300599 is a prime.

It is a super-2 number, since 2×90570300601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90570300701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 360837726 + ... + 360837976.

Almost surely, 2^90570300601 is an apocalyptic number.

90570300601 is the 300949-th square number.

90570300601 is the 150475-th centered octagonal number.

It is an amenable number.

90570300601 is a deficient number, since it is larger than the sum of its proper divisors (10305773558).

90570300601 is an equidigital number, since it uses as much as digits as its factorization.

90570300601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The spelling of 90570300601 in words is "ninety billion, five hundred seventy million, three hundred thousand, six hundred one".