82762659225 has 63 divisors (see below), whose sum is σ = 153940396719. Its totient is φ = 44119371600.

The previous prime is 82762659193. The next prime is 82762659253. The reversal of 82762659225 is 52295626728.

The square root of 82762659225 is 287685.

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

82762659225 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 26 + 592 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29794557321 + 52968101904 = 172611^2 + 230148^2 .

It is not a de Polignac number, because 82762659225 - 2⁵ = 82762659193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 38836410 + ... + 38838540.

Almost surely, 2^82762659225 is an apocalyptic number.

82762659225 is the 287685-th square number.

82762659225 is the 143843-rd centered octagonal number.

It is an amenable number.

82762659225 is a deficient number, since it is larger than the sum of its proper divisors (71177737494).

82762659225 is an frugal number, since it uses more digits than its factorization.

82762659225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 2139 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 82762659225 in words is "eighty-two billion, seven hundred sixty-two million, six hundred fifty-nine thousand, two hundred twenty-five".