1005057330 has 32 divisors (see below), whose sum is σ = 2453025600. Its totient is φ = 263472192.

The previous prime is 1005057311. The next prime is 1005057341. The reversal of 1005057330 is 337505001.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005057330.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282145 + ... + 285684.

It is an arithmetic number, because the mean of its divisors is an integer number (76657050).

Almost surely, 2^1005057330 is an apocalyptic number.

1005057330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005057330 is an abundant number, since it is smaller than the sum of its proper divisors (1447968270).

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

1005057330 is a wasteful number, since it uses less digits than its factorization.

1005057330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567898.

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 1005057330 is about 31702.6391645869. The cubic root of 1005057330 is about 1001.6829427814.

The spelling of 1005057330 in words is "one billion, five million, fifty-seven thousand, three hundred thirty".