1005617013 has 8 divisors (see below), whose sum is σ = 1341324576. Its totient is φ = 670160400.

The previous prime is 1005616999. The next prime is 1005617023. The reversal of 1005617013 is 3107165001.

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

It is not a de Polignac number, because 1005617013 - 2⁵ = 1005616981 is a prime.

It is a super-2 number, since 2×1005617013² = 2022531153670084338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005617023) 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, 53178 + ... + 69563.

It is an arithmetic number, because the mean of its divisors is an integer number (167665572).

Almost surely, 2^1005617013 is an apocalyptic number.

It is an amenable number.

1005617013 is a deficient number, since it is larger than the sum of its proper divisors (335707563).

1005617013 is a wasteful number, since it uses less digits than its factorization.

1005617013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125475.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 1005617013 is about 31711.4650087315. The cubic root of 1005617013 is about 1001.8688429171.

The spelling of 1005617013 in words is "one billion, five million, six hundred seventeen thousand, thirteen".