38309058529 has 9 divisors (see below), whose sum is σ = 44565192531. Its totient is φ = 32835161520.

The previous prime is 38309058499. The next prime is 38309058553. The reversal of 38309058529 is 92585090383.

It is a happy number.

The square root of 38309058529 is 195727.

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., 8944808929 + 29364249600 = 94577^2 + 171360^2 .

It is not a de Polignac number, because 38309058529 - 2⁷ = 38309058401 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38309058559) 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, 1356109 + ... + 1384069.

It is an arithmetic number, because the mean of its divisors is an integer number (4951688059).

Almost surely, 2^38309058529 is an apocalyptic number.

38309058529 is the 195727-th square number.

38309058529 is the 97864-th centered octagonal number.

It is an amenable number.

38309058529 is a deficient number, since it is larger than the sum of its proper divisors (6256134002).

38309058529 is an frugal number, since it uses more digits than its factorization.

38309058529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55936 (or 27968 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 38309058529 in words is "thirty-eight billion, three hundred nine million, fifty-eight thousand, five hundred twenty-nine".