682048025 has 12 divisors (see below), whose sum is σ = 846104700. Its totient is φ = 545402880.

The previous prime is 682047967. The next prime is 682048027. The reversal of 682048025 is 520840286.

It can be written as a sum of positive squares in 6 ways, for example, as 7139584 + 674908441 = 2672^2 + 25979^2 .

It is not a de Polignac number, because 682048025 - 2¹⁰ = 682047001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (682048027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74921 + ... + 83529.

It is an arithmetic number, because the mean of its divisors is an integer number (70508725).

Almost surely, 2^682048025 is an apocalyptic number.

It is an amenable number.

682048025 is a deficient number, since it is larger than the sum of its proper divisors (164056675).

682048025 is a wasteful number, since it uses less digits than its factorization.

682048025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11788 (or 11783 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 682048025 is about 26116.0491843617. The cubic root of 682048025 is about 880.2478748184.

It can be divided in two parts, 6820 and 48025, that added together give a palindrome (54845).

The spelling of 682048025 in words is "six hundred eighty-two million, forty-eight thousand, twenty-five".