253306324260 has 144 divisors (see below), whose sum is σ = 839585073600. Its totient is φ = 61307124480.

The previous prime is 253306324241. The next prime is 253306324261. The reversal of 253306324260 is 62423603352.

253306324260 is a `hidden beast` number, since 2 + 5 + 3 + 306 + 324 + 26 + 0 = 666.

It is a super-3 number, since 3×253306324260³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (253306324261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1109391 + ... + 1318089.

It is an arithmetic number, because the mean of its divisors is an integer number (5830451900).

Almost surely, 2^253306324260 is an apocalyptic number.

253306324260 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 253306324260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419792536800).

253306324260 is an abundant number, since it is smaller than the sum of its proper divisors (586278749340).

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

253306324260 is a wasteful number, since it uses less digits than its factorization.

253306324260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209338 (or 209333 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 253306324260 in words is "two hundred fifty-three billion, three hundred six million, three hundred twenty-four thousand, two hundred sixty".