253213000 has 64 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 95947200.

The previous prime is 253212979. The next prime is 253213021. The reversal of 253213000 is 312352.

It is an interprime number because it is at equal distance from previous prime (253212979) and next prime (253213021).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12337 + ... + 25663.

It is an arithmetic number, because the mean of its divisors is an integer number (9746100).

Almost surely, 2^253213000 is an apocalyptic number.

253213000 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 253213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311875200).

253213000 is an abundant number, since it is smaller than the sum of its proper divisors (370537400).

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

253213000 is a wasteful number, since it uses less digits than its factorization.

253213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13367 (or 13353 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 253213000 is about 15912.6679095619. The cubic root of 253213000 is about 632.6477962356.

Adding to 253213000 its reverse (312352), we get a palindrome (253525352).

The spelling of 253213000 in words is "two hundred fifty-three million, two hundred thirteen thousand".