1005133215 has 8 divisors (see below), whose sum is σ = 1608213168. Its totient is φ = 536071040.

The previous prime is 1005133187. The next prime is 1005133219. The reversal of 1005133215 is 5123315001.

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

It is not a de Polignac number, because 1005133215 - 2⁵ = 1005133183 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005133191 and 1005133200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005133219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33504426 + ... + 33504455.

It is an arithmetic number, because the mean of its divisors is an integer number (201026646).

Almost surely, 2^1005133215 is an apocalyptic number.

1005133215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005133215 is a deficient number, since it is larger than the sum of its proper divisors (603079953).

1005133215 is an equidigital number, since it uses as much as digits as its factorization.

1005133215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67008889.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1005133215 is about 31703.8359666461. The cubic root of 1005133215 is about 1001.7081522213.

Adding to 1005133215 its reverse (5123315001), we get a palindrome (6128448216).

It can be divided in two parts, 100 and 5133215, that added together give a palindrome (5133315).

The spelling of 1005133215 in words is "one billion, five million, one hundred thirty-three thousand, two hundred fifteen".