1006503200 has 72 divisors (see below), whose sum is σ = 2464443828. Its totient is φ = 401402880.

The previous prime is 1006503191. The next prime is 1006503263. The reversal of 1006503200 is 23056001.

1006503200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 718454416 + 288048784 = 26804^2 + 16972^2 .

It is a super-2 number, since 2×1006503200² = 2026097383220480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296714 + ... + 300086.

Almost surely, 2^1006503200 is an apocalyptic number.

1006503200 is a gapful number since it is divisible by the number (10) 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 1006503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232221914).

1006503200 is an abundant number, since it is smaller than the sum of its proper divisors (1457940628).

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

1006503200 is a wasteful number, since it uses less digits than its factorization.

1006503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1006503200 is about 31725.4345911920. The cubic root of 1006503200 is about 1002.1630511695.

Adding to 1006503200 its reverse (23056001), we get a palindrome (1029559201).

The spelling of 1006503200 in words is "one billion, six million, five hundred three thousand, two hundred".