252010620 has 72 divisors (see below), whose sum is σ = 773070480. Its totient is φ = 66443520.

The previous prime is 252010613. The next prime is 252010621. The reversal of 252010620 is 26010252.

252010620 is a `hidden beast` number, since 25 + 20 + 1 + 0 + 620 = 666.

252010620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 252010593 and 252010602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252010621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8155 + ... + 23885.

It is an arithmetic number, because the mean of its divisors is an integer number (10737090).

Almost surely, 2^252010620 is an apocalyptic number.

252010620 is a gapful number since it is divisible by the number (20) 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 252010620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386535240).

252010620 is an abundant number, since it is smaller than the sum of its proper divisors (521059860).

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

252010620 is a wasteful number, since it uses less digits than its factorization.

252010620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15835 (or 15830 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252010620 is about 15874.8423614220. The cubic root of 252010620 is about 631.6448326223.

Adding to 252010620 its reverse (26010252), we get a palindrome (278020872).

The spelling of 252010620 in words is "two hundred fifty-two million, ten thousand, six hundred twenty".