1005351140 has 12 divisors (see below), whose sum is σ = 2111237436. Its totient is φ = 402140448.

The previous prime is 1005351131. The next prime is 1005351143. The reversal of 1005351140 is 411535001.

It can be written as a sum of positive squares in 2 ways, for example, as 514019584 + 491331556 = 22672^2 + 22166^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 50267557 = 1005351140 / (1 + 0 + 0 + 5 + 3 + 5 + 1 + 1 + 4 + 0).

It is not an unprimeable number, because it can be changed into a prime (1005351143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 25133759 + ... + 25133798.

It is an arithmetic number, because the mean of its divisors is an integer number (175936453).

Almost surely, 2^1005351140 is an apocalyptic number.

1005351140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005351140 is an abundant number, since it is smaller than the sum of its proper divisors (1105886296).

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

1005351140 is a wasteful number, since it uses less digits than its factorization.

1005351140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50267566 (or 50267564 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1005351140 is about 31707.2726673235. The cubic root of 1005351140 is about 1001.7805411250.

Adding to 1005351140 its reverse (411535001), we get a palindrome (1416886141).

The spelling of 1005351140 in words is "one billion, five million, three hundred fifty-one thousand, one hundred forty".