252611670 has 64 divisors (see below), whose sum is σ = 656916480. Its totient is φ = 61920768.

The previous prime is 252611651. The next prime is 252611677. The reversal of 252611670 is 76116252.

252611670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×252611670³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252611677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16171 + ... + 27689.

It is an arithmetic number, because the mean of its divisors is an integer number (10264320).

Almost surely, 2^252611670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252611670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328458240).

252611670 is an abundant number, since it is smaller than the sum of its proper divisors (404304810).

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

252611670 is a wasteful number, since it uses less digits than its factorization.

252611670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11589.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 252611670 is about 15893.7619838728. The cubic root of 252611670 is about 632.1465954736.

It can be divided in two parts, 2526 and 11670, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 252611670 in words is "two hundred fifty-two million, six hundred eleven thousand, six hundred seventy".