1253972544 has 112 divisors (see below), whose sum is σ = 3657331776. Its totient is φ = 376012800.

The previous prime is 1253972543. The next prime is 1253972563. The reversal of 1253972544 is 4452793521.

It is a happy number.

It is a super-2 number, since 2×1253972544² = 3144894282211663872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1253972496 and 1253972505.

It is not an unprimeable number, because it can be changed into a prime (1253972543) 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 15 ways as a sum of consecutive naturals, for example, 201804 + ... + 207924.

It is an arithmetic number, because the mean of its divisors is an integer number (32654748).

Almost surely, 2^1253972544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828665888).

1253972544 is an abundant number, since it is smaller than the sum of its proper divisors (2403359232).

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

1253972544 is a wasteful number, since it uses less digits than its factorization.

1253972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244 (or 6234 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 1253972544 is about 35411.4747504252. The cubic root of 1253972544 is about 1078.3572831597.

The spelling of 1253972544 in words is "one billion, two hundred fifty-three million, nine hundred seventy-two thousand, five hundred forty-four".