1005250320 has 120 divisors (see below), whose sum is σ = 3407203800. Its totient is φ = 265586688.

The previous prime is 1005250313. The next prime is 1005250331. The reversal of 1005250320 is 230525001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104530176 + 900720144 = 10224^2 + 30012^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1005250293 and 1005250302.

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 23 ways as a sum of consecutive naturals, for example, 72076 + ... + 84884.

It is an arithmetic number, because the mean of its divisors is an integer number (28393365).

Almost surely, 2^1005250320 is an apocalyptic number.

1005250320 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 1005250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703601900).

1005250320 is an abundant number, since it is smaller than the sum of its proper divisors (2401953480).

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

1005250320 is a wasteful number, since it uses less digits than its factorization.

1005250320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12937 (or 12928 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1005250320 is about 31705.6827713897. The cubic root of 1005250320 is about 1001.7470526961.

Adding to 1005250320 its reverse (230525001), we get a palindrome (1235775321).

It can be divided in two parts, 100 and 5250320, that added together give a triangular number (5250420 = T₃₂₄₀).

The spelling of 1005250320 in words is "one billion, five million, two hundred fifty thousand, three hundred twenty".