53219724184225 has 27 divisors (see below), whose sum is σ = 67263535296363. Its totient is φ = 41770945357440.

The previous prime is 53219724184147. The next prime is 53219724184261. The reversal of 53219724184225 is 52248142791235.

The square root of 53219724184225 is 7295185.

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

It can be written as a sum of positive squares in 13 ways, for example, as 30100398422689 + 23119325761536 = 5486383^2 + 4808256^2 .

It is not a de Polignac number, because 53219724184225 - 2²⁷ = 53219589966497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1933210261 + ... + 1933237789.

Almost surely, 2^{53219724184225} is an apocalyptic number.

53219724184225 is the 7295185-th square number.

53219724184225 is the 3647593-rd centered octagonal number.

It is an amenable number.

53219724184225 is a deficient number, since it is larger than the sum of its proper divisors (14043811112138).

53219724184225 is an frugal number, since it uses more digits than its factorization.

53219724184225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55174 (or 27587 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The spelling of 53219724184225 in words is "fifty-three trillion, two hundred nineteen billion, seven hundred twenty-four million, one hundred eighty-four thousand, two hundred twenty-five".