90630500401 has 27 divisors (see below), whose sum is σ = 109261777131. Its totient is φ = 74953975824.

The previous prime is 90630500357. The next prime is 90630500417. The reversal of 90630500401 is 10400503609.

The square root of 90630500401 is 301049.

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., 47524436001 + 43106064400 = 218001^2 + 207620^2 .

It is a de Polignac number, because none of the positive numbers 2^k-90630500401 is a prime.

It is a super-2 number, since 2×90630500401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90630500401.

It is not an unprimeable number, because it can be changed into a prime (90630500501) 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, 61112206 + ... + 61113688.

Almost surely, 2^90630500401 is an apocalyptic number.

90630500401 is the 301049-th square number.

90630500401 is the 150525-th centered octagonal number.

It is an amenable number.

90630500401 is a deficient number, since it is larger than the sum of its proper divisors (18631276730).

90630500401 is an frugal number, since it uses more digits than its factorization.

90630500401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 90630500401 in words is "ninety billion, six hundred thirty million, five hundred thousand, four hundred one".