252000213 has 16 divisors (see below), whose sum is σ = 357229440. Its totient is φ = 157661504.

The previous prime is 252000193. The next prime is 252000223. The reversal of 252000213 is 312000252.

It is not a de Polignac number, because 252000213 - 2⁹ = 251999701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252000192 and 252000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252000223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30798 + ... + 38111.

It is an arithmetic number, because the mean of its divisors is an integer number (22326840).

Almost surely, 2^252000213 is an apocalyptic number.

252000213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

252000213 is a deficient number, since it is larger than the sum of its proper divisors (105229227).

252000213 is a wasteful number, since it uses less digits than its factorization.

252000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68988.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 252000213 is about 15874.5145752555. The cubic root of 252000213 is about 631.6361377265.

Adding to 252000213 its reverse (312000252), we get a palindrome (564000465).

The spelling of 252000213 in words is "two hundred fifty-two million, two hundred thirteen", and thus it is an aban number.