1032564887104 has 63 divisors (see below), whose sum is σ = 2079423850161. Its totient is φ = 508726337280.

The previous prime is 1032564887099. The next prime is 1032564887143. The reversal of 1032564887104 is 4017884652301.

The square root of 1032564887104 is 1016152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 975654013504 + 56910873600 = 987752^2 + 238560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 577173442 + ... + 577175230.

Almost surely, 2^{1032564887104} is an apocalyptic number.

1032564887104 is the 1016152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032564887104

1032564887104 is an abundant number, since it is smaller than the sum of its proper divisors (1046858963057).

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

1032564887104 is an frugal number, since it uses more digits than its factorization.

1032564887104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 1032564887104 by its sum of digits (49), we get a square (50595679468096 = 7113064²).

The spelling of 1032564887104 in words is "one trillion, thirty-two billion, five hundred sixty-four million, eight hundred eighty-seven thousand, one hundred four".