509652 has 90 divisors (see below), whose sum is σ = 1577114. Its totient is φ = 142560.

The previous prime is 509647. The next prime is 509653. The reversal of 509652 is 256905.

509652 is a `hidden beast` number, since 5 + 0 + 9 + 652 = 666.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 156816 = 594^2 + 396^2 .

It is a super-2 number, since 2×509652² = 519490322208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509653) by changing a digit.

509652 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39198 + ... + 39210.

2⁵⁰⁹⁶⁵² is an apocalyptic number.

509652 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788557).

509652 is an abundant number, since it is smaller than the sum of its proper divisors (1067462).

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

509652 is a wasteful number, since it uses less digits than its factorization.

509652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 509652 is about 713.8991525419. The cubic root of 509652 is about 79.8775209149.

The spelling of 509652 in words is "five hundred nine thousand, six hundred fifty-two".