83567824561 has 27 divisors (see below), whose sum is σ = 93157398243. Its totient is φ = 74929795200.

The previous prime is 83567824559. The next prime is 83567824589. The reversal of 83567824561 is 16542876538.

It is a happy number.

The square root of 83567824561 is 289081.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9627338161 + 73940486400 = 98119^2 + 271920^2 .

It is not a de Polignac number, because 83567824561 - 2¹ = 83567824559 is a prime.

It is a super-3 number, since 3×83567824561³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (83567824531) 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, 139047661 + ... + 139048261.

It is an arithmetic number, because the mean of its divisors is an integer number (3450274009).

Almost surely, 2^83567824561 is an apocalyptic number.

83567824561 is the 289081-st square number.

83567824561 is the 144541-st centered octagonal number.

It is an amenable number.

83567824561 is a deficient number, since it is larger than the sum of its proper divisors (9589573682).

83567824561 is an frugal number, since it uses more digits than its factorization.

83567824561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 651 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The spelling of 83567824561 in words is "eighty-three billion, five hundred sixty-seven million, eight hundred twenty-four thousand, five hundred sixty-one".