1005005213 has 8 divisors (see below), whose sum is σ = 1052038656. Its totient is φ = 958885200.

The previous prime is 1005005143. The next prime is 1005005219. The reversal of 1005005213 is 3125005001.

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 1005005213 - 2²⁴ = 988227997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005005191 and 1005005200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005005219) 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 7 ways as a sum of consecutive naturals, for example, 226106 + ... + 230507.

It is an arithmetic number, because the mean of its divisors is an integer number (131504832).

Almost surely, 2^1005005213 is an apocalyptic number.

It is an amenable number.

1005005213 is a deficient number, since it is larger than the sum of its proper divisors (47033443).

1005005213 is an equidigital number, since it uses as much as digits as its factorization.

1005005213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456715.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 1005005213 is about 31701.8171876629. The cubic root of 1005005213 is about 1001.6656284748.

The spelling of 1005005213 in words is "one billion, five million, five thousand, two hundred thirteen".