1005115201 has 8 divisors (see below), whose sum is σ = 1040288000. Its totient is φ = 970114320.

The previous prime is 1005115151. The next prime is 1005115229. The reversal of 1005115201 is 1025115001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005115201 - 2¹⁷ = 1004984129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005115271) 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 7 ways as a sum of consecutive naturals, for example, 31026 + ... + 54523.

It is an arithmetic number, because the mean of its divisors is an integer number (130036000).

Almost surely, 2^1005115201 is an apocalyptic number.

It is an amenable number.

1005115201 is a deficient number, since it is larger than the sum of its proper divisors (35172799).

1005115201 is an equidigital number, since it uses as much as digits as its factorization.

1005115201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85959.

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 1005115201 is about 31703.5518672593. The cubic root of 1005115201 is about 1001.7021679802.

It can be divided in two parts, 10051 and 15201, that added together give a palindrome (25252).

The spelling of 1005115201 in words is "one billion, five million, one hundred fifteen thousand, two hundred one".