1032352512 has 72 divisors (see below), whose sum is σ = 2774975280. Its totient is φ = 340684800.

The previous prime is 1032352511. The next prime is 1032352537. The reversal of 1032352512 is 2152532301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1032352511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70914 + ... + 84222.

Almost surely, 2^1032352512 is an apocalyptic number.

1032352512 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 1032352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387487640).

1032352512 is an abundant number, since it is smaller than the sum of its proper divisors (1742622768).

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

1032352512 is a wasteful number, since it uses less digits than its factorization.

1032352512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13429 (or 13415 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1032352512 is about 32130.2429495950. The cubic root of 1032352512 is about 1010.6699185906.

Adding to 1032352512 its reverse (2152532301), we get a palindrome (3184884813).

It can be divided in two parts, 10323 and 52512, that added together give a triangular number (62835 = T₃₅₄).

The spelling of 1032352512 in words is "one billion, thirty-two million, three hundred fifty-two thousand, five hundred twelve".