252261620 has 24 divisors (see below), whose sum is σ = 570499944. Its totient is φ = 93142656.

The previous prime is 252261599. The next prime is 252261629. The reversal of 252261620 is 26162252.

252261620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17007376 + 235254244 = 4124^2 + 15338^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 252261620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252261629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484859 + ... + 485378.

It is an arithmetic number, because the mean of its divisors is an integer number (23770831).

Almost surely, 2^252261620 is an apocalyptic number.

252261620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252261620 is an abundant number, since it is smaller than the sum of its proper divisors (318238324).

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

252261620 is a wasteful number, since it uses less digits than its factorization.

252261620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970259 (or 970257 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 252261620 is about 15882.7459842434. The cubic root of 252261620 is about 631.8544669708.

The spelling of 252261620 in words is "two hundred fifty-two million, two hundred sixty-one thousand, six hundred twenty".