8253540801 has 27 divisors (see below), whose sum is σ = 13108868227. Its totient is φ = 5000328960.

The previous prime is 8253540791. The next prime is 8253540821. The reversal of 8253540801 is 1080453528.

It is a happy number.

The square root of 8253540801 is 90849.

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

8253540801 is a `hidden beast` number, since 8 + 2 + 535 + 40 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7676388225 + 577152576 = 87615^2 + 24024^2 .

It is not a de Polignac number, because 8253540801 - 2¹⁵ = 8253508033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8253540821) 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, 2996641 + ... + 2999393.

Almost surely, 2^8253540801 is an apocalyptic number.

8253540801 is the 90849-th square number.

8253540801 is the 45425-th centered octagonal number.

It is an amenable number.

8253540801 is a deficient number, since it is larger than the sum of its proper divisors (4855327426).

8253540801 is an equidigital number, since it uses as much as digits as its factorization.

8253540801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The cubic root of 8253540801 is about 2020.9090442521.

Multiplying 8253540801 by its sum of digits (36), we get a square (297127468836 = 545094²).

The spelling of 8253540801 in words is "eight billion, two hundred fifty-three million, five hundred forty thousand, eight hundred one".