252271530 has 128 divisors (see below), whose sum is σ = 775618560. Its totient is φ = 57153600.

The previous prime is 252271519. The next prime is 252271543. The reversal of 252271530 is 35172252.

It is a super-3 number, since 3×252271530³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 252271494 and 252271503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239505 + ... + 240555.

It is an arithmetic number, because the mean of its divisors is an integer number (6059520).

Almost surely, 2^252271530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252271530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387809280).

252271530 is an abundant number, since it is smaller than the sum of its proper divisors (523347030).

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

252271530 is a wasteful number, since it uses less digits than its factorization.

252271530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 252271530 is about 15883.0579549405. The cubic root of 252271530 is about 631.8627409151.

The spelling of 252271530 in words is "two hundred fifty-two million, two hundred seventy-one thousand, five hundred thirty".