83057510809 has 27 divisors (see below), whose sum is σ = 104654817567. Its totient is φ = 65695082544.

The previous prime is 83057510801. The next prime is 83057510819. The reversal of 83057510809 is 90801575038.

The square root of 83057510809 is 288197.

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., 12286614025 + 70770896784 = 110845^2 + 266028^2 .

It is not a de Polignac number, because 83057510809 - 2³ = 83057510801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83057510801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26224344 + ... + 26227510.

Almost surely, 2^83057510809 is an apocalyptic number.

83057510809 is the 288197-th square number.

83057510809 is the 144099-th centered octagonal number.

It is an amenable number.

83057510809 is a deficient number, since it is larger than the sum of its proper divisors (21597306758).

83057510809 is an frugal number, since it uses more digits than its factorization.

83057510809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 83057510809 in words is "eighty-three billion, fifty-seven million, five hundred ten thousand, eight hundred nine".