613125 has 30 divisors (see below), whose sum is σ = 1116830. Its totient is φ = 324000.

The previous prime is 613099. The next prime is 613141. The reversal of 613125 is 521316.

It can be written as a sum of positive squares in 5 ways, for example, as 181476 + 431649 = 426^2 + 657^2 .

It is not a de Polignac number, because 613125 - 2⁶ = 613061 is a prime.

It is a super-3 number, since 3×613125³ = 691462017333984375, which contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

613125 is a lucky number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 613098 and 613107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5571 + ... + 5679.

2⁶¹³¹²⁵ is an apocalyptic number.

It is an amenable number.

613125 is a deficient number, since it is larger than the sum of its proper divisors (503705).

613125 is a wasteful number, since it uses less digits than its factorization.

613125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 613125 is about 783.0229881683. The cubic root of 613125 is about 84.9538388342.

Subtracting from 613125 its reverse (521316), we obtain a square (91809 = 303²).

It can be divided in two parts, 6 and 13125, that added together give a palindrome (13131).

The spelling of 613125 in words is "six hundred thirteen thousand, one hundred twenty-five".