1008352752 has 160 divisors (see below), whose sum is σ = 3035805696. Its totient is φ = 285331200.

The previous prime is 1008352727. The next prime is 1008352769. The reversal of 1008352752 is 2572538001.

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 a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521227 + ... + 523157.

Almost surely, 2^1008352752 is an apocalyptic number.

1008352752 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 1008352752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517902848).

1008352752 is an abundant number, since it is smaller than the sum of its proper divisors (2027452944).

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

1008352752 is a wasteful number, since it uses less digits than its factorization.

1008352752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2013 counting only the distinct ones).

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

The square root of 1008352752 is about 31754.5705686599. The cubic root of 1008352752 is about 1002.7765343886.

It can be divided in two parts, 10083 and 52752, that added together give a triangular number (62835 = T₃₅₄).

The spelling of 1008352752 in words is "one billion, eight million, three hundred fifty-two thousand, seven hundred fifty-two".