1253252736 has 80 divisors (see below), whose sum is σ = 3729690690. Its totient is φ = 417747456.

The previous prime is 1253252731. The next prime is 1253252753. The reversal of 1253252736 is 6372523521.

1253252736 is a `hidden beast` number, since 1 + 2 + 532 + 52 + 73 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1169640000 + 83612736 = 34200^2 + 9144^2 .

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 1253252736.

It is not an unprimeable number, because it can be changed into a prime (1253252731) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 50071 + ... + 70806.

Almost surely, 2^1253252736 is an apocalyptic number.

1253252736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1253252736 is an abundant number, since it is smaller than the sum of its proper divisors (2476437954).

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

1253252736 is an equidigital number, since it uses as much as digits as its factorization.

1253252736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120903 (or 120882 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 1253252736 is about 35401.3098062769. The cubic root of 1253252736 is about 1078.1509100163.

The spelling of 1253252736 in words is "one billion, two hundred fifty-three million, two hundred fifty-two thousand, seven hundred thirty-six".