1253936772 has 72 divisors (see below), whose sum is σ = 3466182720. Its totient is φ = 379062720.

The previous prime is 1253936759. The next prime is 1253936773. The reversal of 1253936772 is 2776393521.

1253936772 is a `hidden beast` number, since 12 + 539 + 36 + 7 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (1253936773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170238 + ... + 177450.

Almost surely, 2^1253936772 is an apocalyptic number.

1253936772 is a gapful number since it is divisible by the number (12) 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 1253936772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733091360).

1253936772 is an abundant number, since it is smaller than the sum of its proper divisors (2212245948).

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

1253936772 is a wasteful number, since it uses less digits than its factorization.

1253936772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673 (or 7668 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 1253936772 is about 35410.9696563085. The cubic root of 1253936772 is about 1078.3470289843.

The spelling of 1253936772 in words is "one billion, two hundred fifty-three million, nine hundred thirty-six thousand, seven hundred seventy-two".