1253881332 has 72 divisors (see below), whose sum is σ = 3499423200. Its totient is φ = 375376320.

The previous prime is 1253881327. The next prime is 1253881357. The reversal of 1253881332 is 2331883521.

It is a happy number.

1253881332 is a `hidden beast` number, since 12 + 538 + 81 + 3 + 32 = 666.

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 23 ways as a sum of consecutive naturals, for example, 13794 + ... + 51942.

It is an arithmetic number, because the mean of its divisors is an integer number (48603100).

Almost surely, 2^1253881332 is an apocalyptic number.

1253881332 is a gapful number since it is divisible by the number (12) 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 1253881332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749711600).

1253881332 is an abundant number, since it is smaller than the sum of its proper divisors (2245541868).

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

1253881332 is a wasteful number, since it uses less digits than its factorization.

1253881332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38253 (or 38248 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1253881332 is about 35410.1868393828. The cubic root of 1253881332 is about 1078.3311365188.

The spelling of 1253881332 in words is "one billion, two hundred fifty-three million, eight hundred eighty-one thousand, three hundred thirty-two".