1005125313 has 8 divisors (see below), whose sum is σ = 1376387968. Its totient is φ = 651973104.

The previous prime is 1005125299. The next prime is 1005125321. The reversal of 1005125313 is 3135215001.

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

It is not a de Polignac number, because 1005125313 - 2¹³ = 1005117121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005125313.

It is not an unprimeable number, because it can be changed into a prime (1005125333) 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, 4527481 + ... + 4527702.

It is an arithmetic number, because the mean of its divisors is an integer number (172048496).

Almost surely, 2^1005125313 is an apocalyptic number.

It is an amenable number.

1005125313 is a deficient number, since it is larger than the sum of its proper divisors (371262655).

1005125313 is an equidigital number, since it uses as much as digits as its factorization.

1005125313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055223.

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

The square root of 1005125313 is about 31703.7113442575. The cubic root of 1005125313 is about 1001.7055271900.

The spelling of 1005125313 in words is "one billion, five million, one hundred twenty-five thousand, three hundred thirteen".