82625513 has 2 divisors, whose sum is σ = 82625514. Its totient is φ = 82625512.

The previous prime is 82625479. The next prime is 82625527. The reversal of 82625513 is 31552628.

82625513 = 6427² + 6428².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41319184 + 41306329 = 6428^2 + 6427^2 .

It is a cyclic number.

It is not a de Polignac number, because 82625513 - 2¹⁰ = 82624489 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_4813664 and since 82625513 and 4813664 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82625513.

It is not a weakly prime, because it can be changed into another prime (82625563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41312756 + 41312757.

It is an arithmetic number, because the mean of its divisors is an integer number (41312757).

Almost surely, 2^82625513 is an apocalyptic number.

82625513 is the 6428-th centered square number.

It is an amenable number.

82625513 is a deficient number, since it is larger than the sum of its proper divisors (1).

82625513 is an equidigital number, since it uses as much as digits as its factorization.

82625513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14400, while the sum is 32.

The square root of 82625513 is about 9089.8576996562. The cubic root of 82625513 is about 435.5500383424.

It can be divided in two parts, 82625 and 513, that added together give a palindrome (83138).

The spelling of 82625513 in words is "eighty-two million, six hundred twenty-five thousand, five hundred thirteen".