82526564061 has 24 divisors (see below), whose sum is σ = 119854843680. Its totient is φ = 54718320096.

The previous prime is 82526564053. The next prime is 82526564089. The reversal of 82526564061 is 16046562528.

82526564061 is a `hidden beast` number, since 8 + 2 + 5 + 26 + 564 + 0 + 61 = 666.

It is not a de Polignac number, because 82526564061 - 2³ = 82526564053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82526563998 and 82526564016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82526564051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1930626 + ... + 1972908.

It is an arithmetic number, because the mean of its divisors is an integer number (4993951820).

Almost surely, 2^82526564061 is an apocalyptic number.

It is an amenable number.

82526564061 is a deficient number, since it is larger than the sum of its proper divisors (37328279619).

82526564061 is a wasteful number, since it uses less digits than its factorization.

82526564061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43465 (or 43462 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 82526564061 in words is "eighty-two billion, five hundred twenty-six million, five hundred sixty-four thousand, sixty-one".