253412124 has 72 divisors (see below), whose sum is σ = 689931648. Its totient is φ = 72182880.

The previous prime is 253412113. The next prime is 253412129. The reversal of 253412124 is 421214352.

253412124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253412094 and 253412103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253412129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370687 + ... + 371369.

It is an arithmetic number, because the mean of its divisors is an integer number (9582384).

Almost surely, 2^253412124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253412124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344965824).

253412124 is an abundant number, since it is smaller than the sum of its proper divisors (436519524).

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

253412124 is a wasteful number, since it uses less digits than its factorization.

253412124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1326 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 253412124 is about 15918.9234560632. The cubic root of 253412124 is about 632.8135886084.

Adding to 253412124 its reverse (421214352), we get a palindrome (674626476).

The spelling of 253412124 in words is "two hundred fifty-three million, four hundred twelve thousand, one hundred twenty-four".