82252519209 has 45 divisors (see below), whose sum is σ = 138673557789. Its totient is φ = 46977348600.

The previous prime is 82252519189. The next prime is 82252519253. The reversal of 82252519209 is 90291525228.

It is a happy number.

The square root of 82252519209 is 286797.

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

82252519209 is a `hidden beast` number, since 82 + 2 + 52 + 519 + 2 + 0 + 9 = 666.

It is not a de Polignac number, because 82252519209 - 2⁷ = 82252519081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82252519009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42158184 + ... + 42160134.

Almost surely, 2^82252519209 is an apocalyptic number.

82252519209 is the 286797-th square number.

82252519209 is the 143399-th centered octagonal number.

It is an amenable number.

82252519209 is a deficient number, since it is larger than the sum of its proper divisors (56421038580).

82252519209 is an frugal number, since it uses more digits than its factorization.

82252519209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 82252519209 in words is "eighty-two billion, two hundred fifty-two million, five hundred nineteen thousand, two hundred nine".