83041372561 has 15 divisors (see below), whose sum is σ = 96892312443. Its totient is φ = 71166216240.

The previous prime is 83041372537. The next prime is 83041372567. The reversal of 83041372561 is 16527314038.

The square root of 83041372561 is 288169.

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., 69211612561 + 13829760000 = 263081^2 + 117600^2 .

It is not a de Polignac number, because 83041372561 - 2¹⁷ = 83041241489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83041372567) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14117341 + ... + 14123221.

Almost surely, 2^83041372561 is an apocalyptic number.

83041372561 is the 288169-th square number.

83041372561 is the 144085-th centered octagonal number.

It is an amenable number.

83041372561 is a deficient number, since it is larger than the sum of its proper divisors (13850939882).

83041372561 is an frugal number, since it uses more digits than its factorization.

83041372561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11790 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

Adding to 83041372561 its reverse (16527314038), we get a palindrome (99568686599).

The spelling of 83041372561 in words is "eighty-three billion, forty-one million, three hundred seventy-two thousand, five hundred sixty-one".