90101428561 has 9 divisors (see below), whose sum is σ = 95718703249. Its totient is φ = 84796541824.

The previous prime is 90101428541. The next prime is 90101428583. The reversal of 90101428561 is 16582410109.

The square root of 90101428561 is 300169.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1678458961 + 88422969600 = 40969^2 + 297360^2 .

It is not a de Polignac number, because 90101428561 - 2²⁷ = 89967210833 is a prime.

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 90101428561.

It is not an unprimeable number, because it can be changed into a prime (90101428541) 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, 5094045 + ... + 5111701.

Almost surely, 2^90101428561 is an apocalyptic number.

90101428561 is the 300169-th square number.

90101428561 is the 150085-th centered octagonal number.

It is an amenable number.

90101428561 is a deficient number, since it is larger than the sum of its proper divisors (5617274688).

90101428561 is an frugal number, since it uses more digits than its factorization.

90101428561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35348 (or 17674 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 90101428561 in words is "ninety billion, one hundred one million, four hundred twenty-eight thousand, five hundred sixty-one".