82119499225 has 27 divisors (see below), whose sum is σ = 104722279767. Its totient is φ = 63878777280.

The previous prime is 82119499139. The next prime is 82119499237. The reversal of 82119499225 is 52299491128.

It is a happy number.

The square root of 82119499225 is 286565.

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

It can be written as a sum of positive squares in 13 ways, for example, as 29037182409 + 53082316816 = 170403^2 + 230396^2 .

It is not a de Polignac number, because 82119499225 - 2¹¹ = 82119497177 is a prime.

It is a super-2 number, since 2×82119499225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53013751 + ... + 53015299.

Almost surely, 2^82119499225 is an apocalyptic number.

82119499225 is the 286565-th square number.

82119499225 is the 143283-rd centered octagonal number.

It is an amenable number.

82119499225 is a deficient number, since it is larger than the sum of its proper divisors (22602780542).

82119499225 is an frugal number, since it uses more digits than its factorization.

82119499225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 1591 counting only the distinct ones).

The product of its digits is 933120, while the sum is 52.

The spelling of 82119499225 in words is "eighty-two billion, one hundred nineteen million, four hundred ninety-nine thousand, two hundred twenty-five".