1013505306 has 32 divisors (see below), whose sum is σ = 2233192896. Its totient is φ = 304080000.

The previous prime is 1013505293. The next prime is 1013505329. The reversal of 1013505306 is 6035053101.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69355 + ... + 82686.

It is an arithmetic number, because the mean of its divisors is an integer number (69787278).

Almost surely, 2^1013505306 is an apocalyptic number.

1013505306 is an abundant number, since it is smaller than the sum of its proper divisors (1219687590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013505306 is a wasteful number, since it uses less digits than its factorization.

1013505306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152158.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1013505306 is about 31835.5980939577. The cubic root of 1013505306 is about 1004.4816534441.

Adding to 1013505306 its reverse (6035053101), we get a palindrome (7048558407).

The spelling of 1013505306 in words is "one billion, thirteen million, five hundred five thousand, three hundred six".