82595311236 has 81 divisors (see below), whose sum is σ = 220436935173. Its totient is φ = 26072383680.

The previous prime is 82595311207. The next prime is 82595311237. The reversal of 82595311236 is 63211359528.

The square root of 82595311236 is 287394.

It is a perfect power (a square), and thus also a powerful number.

82595311236 is a `hidden beast` number, since 8 + 2 + 595 + 31 + 1 + 23 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65512836 + 82529798400 = 8094^2 + 287280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82595311191 and 82595311200.

It is not an unprimeable number, because it can be changed into a prime (82595311237) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32761656 + ... + 32764176.

Almost surely, 2^82595311236 is an apocalyptic number.

82595311236 is the 287394-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82595311236

82595311236 is an abundant number, since it is smaller than the sum of its proper divisors (137841623937).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82595311236 is a wasteful number, since it uses less digits than its factorization.

82595311236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090 (or 2545 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 82595311236 in words is "eighty-two billion, five hundred ninety-five million, three hundred eleven thousand, two hundred thirty-six".