53002724408209 has 9 divisors (see below), whose sum is σ = 53088778492113. Its totient is φ = 52916809623312.

The previous prime is 53002724408077. The next prime is 53002724408213. The reversal of 53002724408209 is 90280442720035.

The square root of 53002724408209 is 7280297.

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 11442422502225 + 41560301905984 = 3382665^2 + 6446728^2 .

It is not a de Polignac number, because 53002724408209 - 2⁴¹ = 50803701152657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53002724408239) 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, 4754028367 + ... + 4754039515.

Almost surely, 2^{53002724408209} is an apocalyptic number.

53002724408209 is the 7280297-th square number.

53002724408209 is the 3640149-th centered octagonal number.

It is an amenable number.

53002724408209 is a deficient number, since it is larger than the sum of its proper divisors (86054083904).

53002724408209 is an frugal number, since it uses more digits than its factorization.

53002724408209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23604 (or 11802 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 53002724408209 in words is "fifty-three trillion, two billion, seven hundred twenty-four million, four hundred eight thousand, two hundred nine".