1005317010 has 48 divisors (see below), whose sum is σ = 2684477016. Its totient is φ = 260838144.

The previous prime is 1005316979. The next prime is 1005317039. The reversal of 1005317010 is 107135001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1004953401 + 363609 = 31701^2 + 603^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147619 + ... + 154278.

Almost surely, 2^1005317010 is an apocalyptic number.

1005317010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005317010 is an abundant number, since it is smaller than the sum of its proper divisors (1679160006).

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

1005317010 is a wasteful number, since it uses less digits than its factorization.

1005317010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301947 (or 301944 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 1005317010 is about 31706.7344581557. The cubic root of 1005317010 is about 1001.7692047354.

The spelling of 1005317010 in words is "one billion, five million, three hundred seventeen thousand, ten".