1205659013 has 12 divisors (see below), whose sum is σ = 1307526948. Its totient is φ = 1111219200.

The previous prime is 1205658991. The next prime is 1205659027. The reversal of 1205659013 is 3109565021.

It can be written as a sum of positive squares in 6 ways, for example, as 13890529 + 1191768484 = 3727^2 + 34522^2 .

It is not a de Polignac number, because 1205659013 - 2⁸ = 1205658757 is a prime.

It is a super-2 number, since 2×1205659013² = 2907227311256268338, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205659033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113381 + ... + 123557.

It is an arithmetic number, because the mean of its divisors is an integer number (108960579).

Almost surely, 2^1205659013 is an apocalyptic number.

1205659013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1205659013 is a deficient number, since it is larger than the sum of its proper divisors (101867935).

1205659013 is a wasteful number, since it uses less digits than its factorization.

1205659013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904 (or 10891 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 1205659013 is about 34722.6008962462. The cubic root of 1205659013 is about 1064.3263942608.

The spelling of 1205659013 in words is "one billion, two hundred five million, six hundred fifty-nine thousand, thirteen".