1253140344 has 192 divisors, whose sum is σ = 3639168000. Its totient is φ = 388926720.

The previous prime is 1253140337. The next prime is 1253140387. The reversal of 1253140344 is 4430413521.

It is a happy number.

1253140344 is a `hidden beast` number, since 1 + 2 + 5 + 314 + 0 + 344 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11711539 + ... + 11711645.

It is an arithmetic number, because the mean of its divisors is an integer number (18954000).

Almost surely, 2^1253140344 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 1253140344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819584000).

1253140344 is an abundant number, since it is smaller than the sum of its proper divisors (2386027656).

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

1253140344 is a wasteful number, since it uses less digits than its factorization.

1253140344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1253140344 is about 35399.7223717927. The cubic root of 1253140344 is about 1078.1186794437.

Adding to 1253140344 its reverse (4430413521), we get a palindrome (5683553865).

The spelling of 1253140344 in words is "one billion, two hundred fifty-three million, one hundred forty thousand, three hundred forty-four".