252565830 has 128 divisors (see below), whose sum is σ = 739791360. Its totient is φ = 60808320.

The previous prime is 252565799. The next prime is 252565837. The reversal of 252565830 is 38565252.

It is a happy number.

252565830 is a `hidden beast` number, since 25 + 2 + 56 + 583 + 0 = 666.

It is a super-3 number, since 3×252565830³ (a number of 26 digits) contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252565837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822537 + ... + 822843.

It is an arithmetic number, because the mean of its divisors is an integer number (5779620).

Almost surely, 2^252565830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252565830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369895680).

252565830 is an abundant number, since it is smaller than the sum of its proper divisors (487225530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252565830 is a wasteful number, since it uses less digits than its factorization.

252565830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 252565830 is about 15892.3198432450. The cubic root of 252565830 is about 632.1083558139.

The spelling of 252565830 in words is "two hundred fifty-two million, five hundred sixty-five thousand, eight hundred thirty".