653476607641 has 27 divisors (see below), whose sum is σ = 777924651357. Its totient is φ = 548274972960.

The previous prime is 653476607593. The next prime is 653476607671. The reversal of 653476607641 is 146706674356.

The square root of 653476607641 is 808379.

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

653476607641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5129567641 + 648347040000 = 71621^2 + 805200^2 .

It is not a de Polignac number, because 653476607641 - 2⁹ = 653476607129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (653476607671) 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, 115595371 + ... + 115601023.

Almost surely, 2^653476607641 is an apocalyptic number.

653476607641 is the 808379-th square number.

653476607641 is the 404190-th centered octagonal number.

It is an amenable number.

653476607641 is a deficient number, since it is larger than the sum of its proper divisors (124448043716).

653476607641 is an frugal number, since it uses more digits than its factorization.

653476607641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11354 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 653476607641 in words is "six hundred fifty-three billion, four hundred seventy-six million, six hundred seven thousand, six hundred forty-one".