252117270 has 96 divisors (see below), whose sum is σ = 701606880. Its totient is φ = 62622720.

The previous prime is 252117263. The next prime is 252117277. The reversal of 252117270 is 72711252.

252117270 is a `hidden beast` number, since 2 + 521 + 1 + 72 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (252117263) and next prime (252117277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252117277) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 103102 + ... + 105518.

It is an arithmetic number, because the mean of its divisors is an integer number (7308405).

Almost surely, 2^252117270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252117270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350803440).

252117270 is an abundant number, since it is smaller than the sum of its proper divisors (449489610).

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

252117270 is a wasteful number, since it uses less digits than its factorization.

252117270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 252117270 is about 15878.2010945825. The cubic root of 252117270 is about 631.7339233397.

It can be divided in two parts, 2521 and 17270, that added together give a palindrome (19791).

The spelling of 252117270 in words is "two hundred fifty-two million, one hundred seventeen thousand, two hundred seventy".