82130990638225 has 27 divisors (see below), whose sum is σ = 108186570121777. Its totient is φ = 61839224708480.

The previous prime is 82130990638183. The next prime is 82130990638243. The reversal of 82130990638225 is 52283609903128.

The square root of 82130990638225 is 9062615.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1921126286209 + 80209864352016 = 1386047^2 + 8955996^2 .

It is not a de Polignac number, because 82130990638225 - 2⁹ = 82130990637713 is a prime.

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 82130990638225.

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, 770268966 + ... + 770375584.

Almost surely, 2^{82130990638225} is an apocalyptic number.

82130990638225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82130990638225 is the 9062615-th square number.

82130990638225 is the 4531308-th centered octagonal number.

It is an amenable number.

82130990638225 is a deficient number, since it is larger than the sum of its proper divisors (26055579483552).

82130990638225 is an frugal number, since it uses more digits than its factorization.

82130990638225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213282 (or 106641 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 82130990638225 in words is "eighty-two trillion, one hundred thirty billion, nine hundred ninety million, six hundred thirty-eight thousand, two hundred twenty-five".