82715485609 has 9 divisors (see below), whose sum is σ = 87303828567. Its totient is φ = 78356862144.

The previous prime is 82715485607. The next prime is 82715485669. The reversal of 82715485609 is 90658451728.

It is a happy number.

The square root of 82715485609 is 287603.

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., 50052875625 + 32662609984 = 223725^2 + 180728^2 .

It is not a de Polignac number, because 82715485609 - 2¹ = 82715485607 is a prime.

It is a super-2 number, since 2×82715485609² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82715485609.

It is not an unprimeable number, because it can be changed into a prime (82715485607) 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, 5456889 + ... + 5472025.

Almost surely, 2^82715485609 is an apocalyptic number.

82715485609 is the 287603-rd square number.

82715485609 is the 143802-nd centered octagonal number.

It is an amenable number.

82715485609 is a deficient number, since it is larger than the sum of its proper divisors (4588342958).

82715485609 is an frugal number, since it uses more digits than its factorization.

82715485609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30312 (or 15156 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 82715485609 in words is "eighty-two billion, seven hundred fifteen million, four hundred eighty-five thousand, six hundred nine".