53508479761 has 27 divisors (see below), whose sum is σ = 62528879217. Its totient is φ = 45745645440.

The previous prime is 53508479749. The next prime is 53508479777. The reversal of 53508479761 is 16797480535.

The square root of 53508479761 is 231319.

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

53508479761 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 15256943361 + 38251536400 = 123519^2 + 195580^2 .

It is not a de Polignac number, because 53508479761 - 2²¹ = 53506382609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53508479261) 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, 43256035 + ... + 43257271.

Almost surely, 2^53508479761 is an apocalyptic number.

53508479761 is the 231319-th square number.

53508479761 is the 115660-th centered octagonal number.

It is an amenable number.

53508479761 is a deficient number, since it is larger than the sum of its proper divisors (9020399456).

53508479761 is an equidigital number, since it uses as much as digits as its factorization.

53508479761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 53508479761 in words is "fifty-three billion, five hundred eight million, four hundred seventy-nine thousand, seven hundred sixty-one".