253165824 has 180 divisors, whose sum is σ = 782780460. Its totient is φ = 81285120.

The previous prime is 253165793. The next prime is 253165889. The reversal of 253165824 is 428561352.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 207360000 = 6768^2 + 14400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 601134 + ... + 601554.

Almost surely, 2^253165824 is an apocalyptic number.

253165824 is a gapful number since it is divisible by the number (24) 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 253165824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391390230).

253165824 is an abundant number, since it is smaller than the sum of its proper divisors (529614636).

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

253165824 is an equidigital number, since it uses as much as digits as its factorization.

253165824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 253165824 is about 15911.1854995157. The cubic root of 253165824 is about 632.6085043533.

The spelling of 253165824 in words is "two hundred fifty-three million, one hundred sixty-five thousand, eight hundred twenty-four".