83511174289 has 27 divisors (see below), whose sum is σ = 90192732721. Its totient is φ = 77308732160.

The previous prime is 83511174251. The next prime is 83511174353. The reversal of 83511174289 is 98247111538.

The square root of 83511174289 is 288983.

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 110355025 + 83400819264 = 10505^2 + 288792^2 .

It is not a de Polignac number, because 83511174289 - 2²⁷ = 83376956561 is a prime.

It is a super-2 number, since 2×83511174289² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83511174889) 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, 437231184 + ... + 437231374.

Almost surely, 2^83511174289 is an apocalyptic number.

83511174289 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

83511174289 is the 288983-rd square number.

83511174289 is the 144492-nd centered octagonal number.

It is an amenable number.

83511174289 is a deficient number, since it is larger than the sum of its proper divisors (6681558432).

83511174289 is an frugal number, since it uses more digits than its factorization.

83511174289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its digits is 483840, while the sum is 49.

Multiplying 83511174289 by its sum of digits (49), we get a square (4092047540161 = 2022881²).

The spelling of 83511174289 in words is "eighty-three billion, five hundred eleven million, one hundred seventy-four thousand, two hundred eighty-nine".