10782529 has 2 divisors, whose sum is σ = 10782530. Its totient is φ = 10782528.

The previous prime is 10782517. The next prime is 10782533. The reversal of 10782529 is 92528701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10575504 + 207025 = 3252^2 + 455^2 .

It is a cyclic number.

It is not a de Polignac number, because 10782529 - 2²¹ = 8685377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10782494 and 10782503.

It is not a weakly prime, because it can be changed into another prime (10782509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5391264 + 5391265.

It is an arithmetic number, because the mean of its divisors is an integer number (5391265).

Almost surely, 2^10782529 is an apocalyptic number.

It is an amenable number.

10782529 is a deficient number, since it is larger than the sum of its proper divisors (1).

10782529 is an equidigital number, since it uses as much as digits as its factorization.

10782529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 10782529 is about 3283.6761411564. The cubic root of 10782529 is about 220.9226335253.

It can be divided in two parts, 10782 and 529, that added together give a palindrome (11311).

The spelling of 10782529 in words is "ten million, seven hundred eighty-two thousand, five hundred twenty-nine".