1253818368 has 180 divisors, whose sum is σ = 3956418648. Its totient is φ = 379453440.

The previous prime is 1253818301. The next prime is 1253818387. The reversal of 1253818368 is 8638183521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1621630 + ... + 1622402.

Almost surely, 2^1253818368 is an apocalyptic number.

1253818368 is a gapful number since it is divisible by the number (18) 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 1253818368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978209324).

1253818368 is an abundant number, since it is smaller than the sum of its proper divisors (2702600280).

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

1253818368 is an equidigital number, since it uses as much as digits as its factorization.

1253818368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 789 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1253818368 is about 35409.2977620285. The cubic root of 1253818368 is about 1078.3130866507.

The spelling of 1253818368 in words is "one billion, two hundred fifty-three million, eight hundred eighteen thousand, three hundred sixty-eight".