1005315101 has 32 divisors (see below), whose sum is σ = 1212641280. Its totient is φ = 815639616.

The previous prime is 1005315071. The next prime is 1005315107. The reversal of 1005315101 is 1015135001.

It is a cyclic number.

It is not a de Polignac number, because 1005315101 - 2¹⁸ = 1005052957 is a prime.

It is a super-3 number, since 3×1005315101³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

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 1005315101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005315107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1300151 + ... + 1300923.

It is an arithmetic number, because the mean of its divisors is an integer number (37895040).

Almost surely, 2^1005315101 is an apocalyptic number.

It is an amenable number.

1005315101 is a deficient number, since it is larger than the sum of its proper divisors (207326179).

1005315101 is an equidigital number, since it uses as much as digits as its factorization.

1005315101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953.

The product of its (nonzero) digits is 75, while the sum is 17.

The square root of 1005315101 is about 31706.7043541267. The cubic root of 1005315101 is about 1001.7685706473.

The spelling of 1005315101 in words is "one billion, five million, three hundred fifteen thousand, one hundred one".