83358660961 has 9 divisors (see below), whose sum is σ = 87147470739. Its totient is φ = 79728019536.

The previous prime is 83358660901. The next prime is 83358660989. The reversal of 83358660961 is 16906685338.

The square root of 83358660961 is 288719.

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., 83119773025 + 238887936 = 288305^2 + 15456^2 .

It is a de Polignac number, because none of the positive numbers 2^k-83358660961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83358660901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6634261 + ... + 6646813.

Almost surely, 2^83358660961 is an apocalyptic number.

83358660961 is the 288719-th square number.

83358660961 is the 144360-th centered octagonal number.

It is an amenable number.

83358660961 is a deficient number, since it is larger than the sum of its proper divisors (3788809778).

83358660961 is an frugal number, since it uses more digits than its factorization.

83358660961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25152 (or 12576 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 83358660961 in words is "eighty-three billion, three hundred fifty-eight million, six hundred sixty thousand, nine hundred sixty-one".