1013505305 has 8 divisors (see below), whose sum is σ = 1216697352. Its totient is φ = 810476928.

The previous prime is 1013505293. The next prime is 1013505329. The reversal of 1013505305 is 5035053101.

It can be written as a sum of positive squares in 4 ways, for example, as 11909401 + 1001595904 = 3451^2 + 31648^2 .

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 1013505305 - 2¹⁶ = 1013439769 is a prime.

It is a super-3 number, since 3×1013505305³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26852 + ... + 52421.

It is an arithmetic number, because the mean of its divisors is an integer number (152087169).

Almost surely, 2^1013505305 is an apocalyptic number.

It is an amenable number.

1013505305 is a deficient number, since it is larger than the sum of its proper divisors (203192047).

1013505305 is an equidigital number, since it uses as much as digits as its factorization.

1013505305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81835.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 1013505305 is about 31835.5980782520. The cubic root of 1013505305 is about 1004.4816531137.

Adding to 1013505305 its reverse (5035053101), we get a palindrome (6048558406).

The spelling of 1013505305 in words is "one billion, thirteen million, five hundred five thousand, three hundred five".