1003152404032 has 112 divisors (see below), whose sum is σ = 2116061046000. Its totient is φ = 470939664384.

The previous prime is 1003152404011. The next prime is 1003152404083. The reversal of 1003152404032 is 2304042513001.

It can be written as a sum of positive squares in 8 ways, for example, as 27830246976 + 975322157056 = 166824^2 + 987584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1003152403988 and 1003152404006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212125444 + ... + 212130172.

Almost surely, 2^{1003152404032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003152404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058030523000).

1003152404032 is an abundant number, since it is smaller than the sum of its proper divisors (1112908641968).

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

1003152404032 is a wasteful number, since it uses less digits than its factorization.

1003152404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7896 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1003152404032 its reverse (2304042513001), we get a palindrome (3307194917033).

The spelling of 1003152404032 in words is "one trillion, three billion, one hundred fifty-two million, four hundred four thousand, thirty-two".