82634135870225 has 12 divisors (see below), whose sum is σ = 102469903483740. Its totient is φ = 66105002241600.

The previous prime is 82634135870201. The next prime is 82634135870239. The reversal of 82634135870225 is 52207853143628.

It is a happy number.

It is a Cunningham number, because it is equal to 9090332²+1.

It can be written as a sum of positive squares in 6 ways, for example, as 6478511365264 + 76155624504961 = 2545292^2 + 8726719^2 .

It is not a de Polignac number, because 82634135870225 - 2⁸ = 82634135869969 is a prime.

It is a super-2 number, since 2×82634135870225² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56930306 + ... + 58363755.

It is an arithmetic number, because the mean of its divisors is an integer number (8539158623645).

Almost surely, 2^{82634135870225} is an apocalyptic number.

It is an amenable number.

82634135870225 is a deficient number, since it is larger than the sum of its proper divisors (19835767613515).

82634135870225 is a wasteful number, since it uses less digits than its factorization.

82634135870225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115322740 (or 115322735 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 82634135870225 in words is "eighty-two trillion, six hundred thirty-four billion, one hundred thirty-five million, eight hundred seventy thousand, two hundred twenty-five".