557253 has 8 divisors (see below), whose sum is σ = 825600. Its totient is φ = 371484.

The previous prime is 557201. The next prime is 557261. The reversal of 557253 is 352755.

It is not a de Polignac number, because 557253 - 2⁹ = 556741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 20639 = 557253 / (5 + 5 + 7 + 2 + 5 + 3).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10293 + ... + 10346.

It is an arithmetic number, because the mean of its divisors is an integer number (103200).

2⁵⁵⁷²⁵³ is an apocalyptic number.

It is an amenable number.

557253 is a deficient number, since it is larger than the sum of its proper divisors (268347).

557253 is a wasteful number, since it uses less digits than its factorization.

557253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20648 (or 20642 counting only the distinct ones).

The product of its digits is 5250, while the sum is 27.

The square root of 557253 is about 746.4938043949. The cubic root of 557253 is about 82.2907091772.

It can be divided in two parts, 5572 and 53, that added together give a square (5625 = 75²).

The spelling of 557253 in words is "five hundred fifty-seven thousand, two hundred fifty-three".