1032507852 has 48 divisors (see below), whose sum is σ = 2566634112. Its totient is φ = 321926400.

The previous prime is 1032507739. The next prime is 1032507863. The reversal of 1032507852 is 2587052301.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

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, 17727 + ... + 48777.

It is an arithmetic number, because the mean of its divisors is an integer number (53471544).

Almost surely, 2^1032507852 is an apocalyptic number.

1032507852 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 1032507852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283317056).

1032507852 is an abundant number, since it is smaller than the sum of its proper divisors (1534126260).

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

1032507852 is a wasteful number, since it uses less digits than its factorization.

1032507852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31238 (or 31236 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1032507852 is about 32132.6602073342. The cubic root of 1032507852 is about 1010.7206085082.

The spelling of 1032507852 in words is "one billion, thirty-two million, five hundred seven thousand, eight hundred fifty-two".