53144125 has 32 divisors (see below), whose sum is σ = 71267040. Its totient is φ = 39424000.

The previous prime is 53144123. The next prime is 53144131. The reversal of 53144125 is 52144135.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 33977241 + 19166884 = 5829^2 + 4378^2 .

It is not a de Polignac number, because 53144125 - 2¹ = 53144123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 53144125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53144123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188985 + ... + 189265.

It is an arithmetic number, because the mean of its divisors is an integer number (2227095).

Almost surely, 2^53144125 is an apocalyptic number.

It is an amenable number.

53144125 is a deficient number, since it is larger than the sum of its proper divisors (18122915).

53144125 is a wasteful number, since it uses less digits than its factorization.

53144125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 53144125 is about 7290.0017146774. The cubic root of 53144125 is about 375.9687544769.

Subtracting from 53144125 its sum of digits (25), we obtain a square (53144100 = 7290²).

It can be divided in two parts, 531441 and 25, that multiplied together give a square (13286025 = 3645²).

The spelling of 53144125 in words is "fifty-three million, one hundred forty-four thousand, one hundred twenty-five".