82427060734225 has 135 divisors (see below), whose sum is σ = 111489369237909. Its totient is φ = 60452633433600.

The previous prime is 82427060734223. The next prime is 82427060734237. The reversal of 82427060734225 is 52243706072428.

It is a happy number.

The square root of 82427060734225 is 9078935.

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

It can be written as a sum of positive squares in 22 ways, for example, as 80460200341521 + 1966860392704 = 8969961^2 + 1402448^2 .

It is not a de Polignac number, because 82427060734225 - 2¹ = 82427060734223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82427060734223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 800262725524 + ... + 800262725626.

Almost surely, 2^{82427060734225} is an apocalyptic number.

82427060734225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82427060734225 is the 9078935-th square number.

82427060734225 is the 4539468-th centered octagonal number.

It is an amenable number.

82427060734225 is a deficient number, since it is larger than the sum of its proper divisors (29062308503684).

82427060734225 is an frugal number, since it uses more digits than its factorization.

82427060734225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 52.

The spelling of 82427060734225 in words is "eighty-two trillion, four hundred twenty-seven billion, sixty million, seven hundred thirty-four thousand, two hundred twenty-five".