1253793772 has 108 divisors (see below), whose sum is σ = 2903826240. Its totient is φ = 471387840.

The previous prime is 1253793769. The next prime is 1253793797. The reversal of 1253793772 is 2773973521.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 686853 + ... + 688675.

It is an arithmetic number, because the mean of its divisors is an integer number (26887280).

Almost surely, 2^1253793772 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 1253793772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451913120).

1253793772 is an abundant number, since it is smaller than the sum of its proper divisors (1650032468).

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

1253793772 is a wasteful number, since it uses less digits than its factorization.

1253793772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1872 counting only the distinct ones).

The product of its digits is 555660, while the sum is 46.

The square root of 1253793772 is about 35408.9504504158. The cubic root of 1253793772 is about 1078.3060355597.

The spelling of 1253793772 in words is "one billion, two hundred fifty-three million, seven hundred ninety-three thousand, seven hundred seventy-two".