1253742336 has 432 divisors, whose sum is σ = 4652863488. Its totient is φ = 315187200.

The previous prime is 1253742323. The next prime is 1253742361. The reversal of 1253742336 is 6332473521.

1253742336 is a `hidden beast` number, since 1 + 253 + 74 + 2 + 336 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1253742336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6564001 + ... + 6564191.

Almost surely, 2^1253742336 is an apocalyptic number.

1253742336 is a gapful number since it is divisible by the number (16) 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 1253742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326431744).

1253742336 is an abundant number, since it is smaller than the sum of its proper divisors (3399121152).

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

1253742336 is a wasteful number, since it uses less digits than its factorization.

1253742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 1253742336 is about 35408.2241294307. The cubic root of 1253742336 is about 1078.2912897780.

The spelling of 1253742336 in words is "one billion, two hundred fifty-three million, seven hundred forty-two thousand, three hundred thirty-six".