253242445824 has 117 divisors (see below), whose sum is σ = 731779181029. Its totient is φ = 84381941760.

The previous prime is 253242445817. The next prime is 253242445843. The reversal of 253242445824 is 428544242352.

It is a happy number.

The square root of 253242445824 is 503232.

It is a perfect power (a square), and thus also a powerful number.

253242445824 is a `hidden beast` number, since 2 + 5 + 3 + 24 + 2 + 44 + 582 + 4 = 666.

253242445824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 208637005824 + 44605440000 = 456768^2 + 211200^2 .

It is a super-3 number, since 3×253242445824³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 253242445824.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96619234 + ... + 96621854.

Almost surely, 2^253242445824 is an apocalyptic number.

253242445824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

253242445824 is the 503232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253242445824

253242445824 is an abundant number, since it is smaller than the sum of its proper divisors (478536735205).

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

253242445824 is an frugal number, since it uses more digits than its factorization.

253242445824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 2626 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 45.

The spelling of 253242445824 in words is "two hundred fifty-three billion, two hundred forty-two million, four hundred forty-five thousand, eight hundred twenty-four".