1003292052 has 72 divisors (see below), whose sum is σ = 2735480160. Its totient is φ = 285364800.

The previous prime is 1003292051. The next prime is 1003292053. The reversal of 1003292052 is 2502923001.

1003292052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1003292051) and next prime (1003292053).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003292051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130927 + ... + 138377.

It is an arithmetic number, because the mean of its divisors is an integer number (37992780).

Almost surely, 2^1003292052 is an apocalyptic number.

1003292052 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 1003292052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367740080).

1003292052 is an abundant number, since it is smaller than the sum of its proper divisors (1732188108).

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

1003292052 is a wasteful number, since it uses less digits than its factorization.

1003292052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1003292052 is about 31674.7857451317. The cubic root of 1003292052 is about 1001.0961486857.

The spelling of 1003292052 in words is "one billion, three million, two hundred ninety-two thousand, fifty-two".