557625 has 16 divisors (see below), whose sum is σ = 928512. Its totient is φ = 297200.

The previous prime is 557611. The next prime is 557633. The reversal of 557625 is 526755.

It is not a de Polignac number, because 557625 - 2⁸ = 557369 is a prime.

557625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 557592 and 557601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

2⁵⁵⁷⁶²⁵ is an apocalyptic number.

It is an amenable number.

557625 is a deficient number, since it is larger than the sum of its proper divisors (370887).

557625 is a wasteful number, since it uses less digits than its factorization.

557625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1495 counting only the distinct ones).

The product of its digits is 10500, while the sum is 30.

The square root of 557625 is about 746.7429276532. The cubic root of 557625 is about 82.3090164419.

It can be divided in two parts, 5 and 57625, that added together give a triangular number (57630 = T₃₃₉).

The spelling of 557625 in words is "five hundred fifty-seven thousand, six hundred twenty-five".