53965613025 has 81 divisors (see below), whose sum is σ = 102791489593. Its totient is φ = 27058886400.

The previous prime is 53965613017. The next prime is 53965613057. The reversal of 53965613025 is 52031656935.

The square root of 53965613025 is 232305.

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

53965613025 is a `hidden beast` number, since 5 + 3 + 9 + 6 + 5 + 613 + 0 + 25 = 666.

53965613025 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 1262309841 + 52703303184 = 35529^2 + 229572^2 .

It is not a de Polignac number, because 53965613025 - 2³ = 53965613017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59237320 + ... + 59238230.

Almost surely, 2^53965613025 is an apocalyptic number.

53965613025 is the 232305-th square number.

53965613025 is the 116153-rd centered octagonal number.

It is an amenable number.

53965613025 is a deficient number, since it is larger than the sum of its proper divisors (48825876568).

53965613025 is an equidigital number, since it uses as much as digits as its factorization.

53965613025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 53965613025 in words is "fifty-three billion, nine hundred sixty-five million, six hundred thirteen thousand, twenty-five".