253611324 has 72 divisors (see below), whose sum is σ = 670990320. Its totient is φ = 83752704.

The previous prime is 253611311. The next prime is 253611353. The reversal of 253611324 is 423116352.

253611324 is a `hidden beast` number, since 25 + 3 + 611 + 3 + 24 = 666.

It is a super-2 number, since 2×253611324² = 128637407322065952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108682 + ... + 110990.

It is an arithmetic number, because the mean of its divisors is an integer number (9319310).

Almost surely, 2^253611324 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 253611324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335495160).

253611324 is an abundant number, since it is smaller than the sum of its proper divisors (417378996).

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

253611324 is a wasteful number, since it uses less digits than its factorization.

253611324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2427 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 253611324 is about 15925.1789314908. The cubic root of 253611324 is about 632.9793573826.

Adding to 253611324 its reverse (423116352), we get a palindrome (676727676).

The spelling of 253611324 in words is "two hundred fifty-three million, six hundred eleven thousand, three hundred twenty-four".