83971006261 has 16 divisors (see below), whose sum is σ = 85888761264. Its totient is φ = 82076073984.

The previous prime is 83971006241. The next prime is 83971006271. The reversal of 83971006261 is 16260017938.

It can be written as a sum of positive squares in 8 ways, for example, as 26799327025 + 57171679236 = 163705^2 + 239106^2 .

It is a cyclic number.

It is not a de Polignac number, because 83971006261 - 2¹¹ = 83971004213 is a prime.

It is a super-2 number, since 2×83971006261² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83971006211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6123765 + ... + 6137461.

It is an arithmetic number, because the mean of its divisors is an integer number (5368047579).

Almost surely, 2^83971006261 is an apocalyptic number.

It is an amenable number.

83971006261 is a deficient number, since it is larger than the sum of its proper divisors (1917755003).

83971006261 is a wasteful number, since it uses less digits than its factorization.

83971006261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14520.

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 83971006261 in words is "eighty-three billion, nine hundred seventy-one million, six thousand, two hundred sixty-one".