83055205249 has 9 divisors (see below), whose sum is σ = 85371569577. Its totient is φ = 80800095024.

The previous prime is 83055205193. The next prime is 83055205291. The reversal of 83055205249 is 94250255038.

The square root of 83055205249 is 288193.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22456521025 + 60598684224 = 149855^2 + 246168^2 .

It is not a de Polignac number, because 83055205249 - 2²¹ = 83053108097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83055295249) 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, 10659247 + ... + 10667035.

It is an arithmetic number, because the mean of its divisors is an integer number (9485729953).

Almost surely, 2^83055205249 is an apocalyptic number.

83055205249 is the 288193-rd square number.

83055205249 is the 144097-th centered octagonal number.

It is an amenable number.

83055205249 is a deficient number, since it is larger than the sum of its proper divisors (2316364328).

83055205249 is an frugal number, since it uses more digits than its factorization.

83055205249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15652 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 83055205249 in words is "eighty-three billion, fifty-five million, two hundred five thousand, two hundred forty-nine".