253204512 has 96 divisors (see below), whose sum is σ = 728227584. Its totient is φ = 76396800.

The previous prime is 253204499. The next prime is 253204537. The reversal of 253204512 is 215402352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×253204512² = 128225049794316288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 366087 + ... + 366777.

It is an arithmetic number, because the mean of its divisors is an integer number (7585704).

Almost surely, 2^253204512 is an apocalyptic number.

253204512 is a gapful number since it is divisible by the number (22) 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 253204512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364113792).

253204512 is an abundant number, since it is smaller than the sum of its proper divisors (475023072).

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

253204512 is a wasteful number, since it uses less digits than its factorization.

253204512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 253204512 is about 15912.4012015786. The cubic root of 253204512 is about 632.6407271218.

Adding to 253204512 its reverse (215402352), we get a palindrome (468606864).

The spelling of 253204512 in words is "two hundred fifty-three million, two hundred four thousand, five hundred twelve".