90239531303601 has 27 divisors (see below), whose sum is σ = 137568199586571. Its totient is φ = 56993046211584.

The previous prime is 90239531303573. The next prime is 90239531303611. The reversal of 90239531303601 is 10630313593209.

The square root of 90239531303601 is 9499449.

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

90239531303601 is a `hidden beast` number, since 9 + 0 + 2 + 3 + 9 + 5 + 3 + 1 + 30 + 3 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43790181282225 + 46449350021376 = 6617415^2 + 6815376^2 .

It is not a de Polignac number, because 90239531303601 - 2⁵ = 90239531303569 is a prime.

It is a super-3 number, since 3×90239531303601³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (90239531303611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 541385265 + ... + 541551921.

Almost surely, 2^{90239531303601} is an apocalyptic number.

90239531303601 is the 9499449-th square number.

90239531303601 is the 4749725-th centered octagonal number.

It is an amenable number.

90239531303601 is a deficient number, since it is larger than the sum of its proper divisors (47328668282970).

90239531303601 is an frugal number, since it uses more digits than its factorization.

90239531303601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333358 (or 166679 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 90239531303601 in words is "ninety trillion, two hundred thirty-nine billion, five hundred thirty-one million, three hundred three thousand, six hundred one".