252520 has 32 divisors (see below), whose sum is σ = 583200. Its totient is φ = 98368.

The previous prime is 252509. The next prime is 252533. The reversal of 252520 is 25252.

It is a junction number, because it is equal to n+sod(n) for n = 252494 and 252503.

It is an unprimeable number.

252520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2307 + ... + 2413.

It is an arithmetic number, because the mean of its divisors is an integer number (18225).

2²⁵²⁵²⁰ is an apocalyptic number.

252520 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 252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291600).

252520 is an abundant number, since it is smaller than the sum of its proper divisors (330680).

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

252520 is a wasteful number, since it uses less digits than its factorization.

252520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 252520 is about 502.5136814058. The cubic root of 252520 is about 63.2070119870.

Adding to 252520 its reverse (25252), we get a palindrome (277772).

The spelling of 252520 in words is "two hundred fifty-two thousand, five hundred twenty".