82565808133265 has 16 divisors (see below), whose sum is σ = 100758674476800. Its totient is φ = 64932852254592.

The previous prime is 82565808133243. The next prime is 82565808133271. The reversal of 82565808133265 is 56233180856528.

It is a cyclic number.

It is not a de Polignac number, because 82565808133265 - 2¹⁴ = 82565808116881 is a prime.

It is a super-2 number, since 2×82565808133265² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82565808133198 and 82565808133207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113365109 + ... + 114091101.

It is an arithmetic number, because the mean of its divisors is an integer number (6297417154800).

Almost surely, 2^{82565808133265} is an apocalyptic number.

It is an amenable number.

82565808133265 is a deficient number, since it is larger than the sum of its proper divisors (18192866343535).

82565808133265 is a wasteful number, since it uses less digits than its factorization.

82565808133265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111576.

The product of its (nonzero) digits is 82944000, while the sum is 62.

The spelling of 82565808133265 in words is "eighty-two trillion, five hundred sixty-five billion, eight hundred eight million, one hundred thirty-three thousand, two hundred sixty-five".