1063729305 has 12 divisors (see below), whose sum is σ = 1843797540. Its totient is φ = 567322272.

The previous prime is 1063729279. The next prime is 1063729357. The reversal of 1063729305 is 5039273601.

1063729305 is a `hidden beast` number, since 10 + 637 + 2 + 9 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 421563024 + 642166281 = 20532^2 + 25341^2 .

It is not a de Polignac number, because 1063729305 - 2⁶ = 1063729241 is a prime.

It is a super-2 number, since 2×1063729305² = 2263040068631566050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1063729305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11819170 + ... + 11819259.

It is an arithmetic number, because the mean of its divisors is an integer number (153649795).

Almost surely, 2^1063729305 is an apocalyptic number.

1063729305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1063729305 is a deficient number, since it is larger than the sum of its proper divisors (780068235).

1063729305 is a wasteful number, since it uses less digits than its factorization.

1063729305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23638440 (or 23638437 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 1063729305 is about 32614.8632528177. The cubic root of 1063729305 is about 1020.8071609820.

The spelling of 1063729305 in words is "one billion, sixty-three million, seven hundred twenty-nine thousand, three hundred five".