53146386225 has 135 divisors (see below), whose sum is σ = 101515889937. Its totient is φ = 27487149120.

The previous prime is 53146386217. The next prime is 53146386247. The reversal of 53146386225 is 52268364135.

The square root of 53146386225 is 230535.

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

53146386225 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 638 + 6 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 194853681 + 52951532544 = 13959^2 + 230112^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 53146386225 - 2³ = 53146386217 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 487581471 + ... + 487581579.

Almost surely, 2^53146386225 is an apocalyptic number.

53146386225 is the 230535-th square number.

53146386225 is the 115268-th centered octagonal number.

It is an amenable number.

53146386225 is a deficient number, since it is larger than the sum of its proper divisors (48369503712).

53146386225 is an equidigital number, since it uses as much as digits as its factorization.

53146386225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 164 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 53146386225 in words is "fifty-three billion, one hundred forty-six million, three hundred eighty-six thousand, two hundred twenty-five".