1253127168 has 132 divisors (see below), whose sum is σ = 3640384800. Its totient is φ = 415174656.

The previous prime is 1253127143. The next prime is 1253127179. The reversal of 1253127168 is 8617213521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2091733 + ... + 2092331.

Almost surely, 2^1253127168 is an apocalyptic number.

1253127168 is a gapful number since it is divisible by the number (18) 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 1253127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820192400).

1253127168 is an abundant number, since it is smaller than the sum of its proper divisors (2387257632).

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

1253127168 is a wasteful number, since it uses less digits than its factorization.

1253127168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 831 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1253127168 is about 35399.5362681491. The cubic root of 1253127168 is about 1078.1149008455.

The spelling of 1253127168 in words is "one billion, two hundred fifty-three million, one hundred twenty-seven thousand, one hundred sixty-eight".