1013058729 has 6 divisors (see below), whose sum is σ = 1463307066. Its totient is φ = 675372480.

The previous prime is 1013058721. The next prime is 1013058749. The reversal of 1013058729 is 9278503101.

It can be written as a sum of positive squares in only one way, i.e., 1007427600 + 5631129 = 31740^2 + 2373^2 .

It is not a de Polignac number, because 1013058729 - 2³ = 1013058721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013058693 and 1013058702.

It is not an unprimeable number, because it can be changed into a prime (1013058721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56281032 + ... + 56281049.

It is an arithmetic number, because the mean of its divisors is an integer number (243884511).

Almost surely, 2^1013058729 is an apocalyptic number.

It is an amenable number.

1013058729 is a deficient number, since it is larger than the sum of its proper divisors (450248337).

1013058729 is a wasteful number, since it uses less digits than its factorization.

1013058729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112562087 (or 112562084 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1013058729 is about 31828.5835217340. The cubic root of 1013058729 is about 1004.3340981223.

The spelling of 1013058729 in words is "one billion, thirteen million, fifty-eight thousand, seven hundred twenty-nine".