1253827632 has 80 divisors (see below), whose sum is σ = 3419106560. Its totient is φ = 394834176.

The previous prime is 1253827577. The next prime is 1253827649. The reversal of 1253827632 is 2367283521.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360333 + ... + 363795.

It is an arithmetic number, because the mean of its divisors is an integer number (42738832).

Almost surely, 2^1253827632 is an apocalyptic number.

1253827632 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 1253827632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709553280).

1253827632 is an abundant number, since it is smaller than the sum of its proper divisors (2165278928).

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

1253827632 is a wasteful number, since it uses less digits than its factorization.

1253827632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3884 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 1253827632 is about 35409.4285748867. The cubic root of 1253827632 is about 1078.3157423963.

The spelling of 1253827632 in words is "one billion, two hundred fifty-three million, eight hundred twenty-seven thousand, six hundred thirty-two".