1058005729 has 9 divisors (see below), whose sum is σ = 1163325331. Its totient is φ = 961498120.

The previous prime is 1058005723. The next prime is 1058005733. The reversal of 1058005729 is 9275008501.

The square root of 1058005729 is 32527.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 196700625 + 861305104 = 14025^2 + 29348^2 .

It is not a de Polignac number, because 1058005729 - 2³ = 1058005721 is a prime.

It is a super-2 number, since 2×1058005729² = 2238752245193642882, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1058005721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 356319 + ... + 359275.

Almost surely, 2^1058005729 is an apocalyptic number.

1058005729 is the 32527-th square number.

1058005729 is the 16264-th centered octagonal number.

It is an amenable number.

1058005729 is a deficient number, since it is larger than the sum of its proper divisors (105319602).

1058005729 is an frugal number, since it uses more digits than its factorization.

1058005729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The cubic root of 1058005729 is about 1018.9729919781.

The spelling of 1058005729 in words is "one billion, fifty-eight million, five thousand, seven hundred twenty-nine".