83332232565201 has 81 divisors (see below), whose sum is σ = 125436008880273. Its totient is φ = 53308388992320.

The previous prime is 83332232565173. The next prime is 83332232565221. The reversal of 83332232565201 is 10256523223338.

It is a happy number.

The square root of 83332232565201 is 9128649.

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

83332232565201 is a `hidden beast` number, since 8 + 3 + 3 + 32 + 2 + 32 + 565 + 20 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20728943939025 + 62603288626176 = 4552905^2 + 7912224^2 .

It is not a de Polignac number, because 83332232565201 - 2¹³ = 83332232557009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83332232565221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 251759010606 + ... + 251759010936.

Almost surely, 2^{83332232565201} is an apocalyptic number.

83332232565201 is the 9128649-th square number.

83332232565201 is the 4564325-th centered octagonal number.

It is an amenable number.

83332232565201 is a deficient number, since it is larger than the sum of its proper divisors (42103776315072).

83332232565201 is an frugal number, since it uses more digits than its factorization.

83332232565201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 83332232565201 its reverse (10256523223338), we get a palindrome (93588755788539).

The spelling of 83332232565201 in words is "eighty-three trillion, three hundred thirty-two billion, two hundred thirty-two million, five hundred sixty-five thousand, two hundred one".