82161885601 has 8 divisors (see below), whose sum is σ = 85235843880. Its totient is φ = 79103980032.

The previous prime is 82161885583. The next prime is 82161885607. The reversal of 82161885601 is 10658816128.

It can be written as a sum of positive squares in 4 ways, for example, as 31390980625 + 50770904976 = 177175^2 + 225324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82161885601 - 2⁷ = 82161885473 is a prime.

It is a super-2 number, since 2×82161885601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82161885607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4002750 + ... + 4023223.

It is an arithmetic number, because the mean of its divisors is an integer number (10654480485).

Almost surely, 2^82161885601 is an apocalyptic number.

It is an amenable number.

82161885601 is a deficient number, since it is larger than the sum of its proper divisors (3073958279).

82161885601 is a wasteful number, since it uses less digits than its factorization.

82161885601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8026355.

The product of its (nonzero) digits is 184320, while the sum is 46.

The spelling of 82161885601 in words is "eighty-two billion, one hundred sixty-one million, eight hundred eighty-five thousand, six hundred one".