1005057320 has 16 divisors (see below), whose sum is σ = 2261379060. Its totient is φ = 402022912.

The previous prime is 1005057311. The next prime is 1005057341. The reversal of 1005057320 is 237505001.

It can be written as a sum of positive squares in 2 ways, for example, as 844832356 + 160224964 = 29066^2 + 12658^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12563177 + ... + 12563256.

Almost surely, 2^1005057320 is an apocalyptic number.

1005057320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005057320 is an abundant number, since it is smaller than the sum of its proper divisors (1256321740).

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

1005057320 is a wasteful number, since it uses less digits than its factorization.

1005057320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25126444 (or 25126440 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 1005057320 is about 31702.6390068713. The cubic root of 1005057320 is about 1001.6829394593.

The spelling of 1005057320 in words is "one billion, five million, fifty-seven thousand, three hundred twenty".