782583125 has 20 divisors (see below), whose sum is σ = 1011660540. Its totient is φ = 604464000.

The previous prime is 782583121. The next prime is 782583133. The reversal of 782583125 is 521385287.

782583125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 556110724 + 226472401 = 23582^2 + 15049^2 .

It is not a de Polignac number, because 782583125 - 2² = 782583121 is a prime.

It is a super-2 number, since 2×782583125² = 1224872695069531250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782583121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3464 + ... + 39713.

It is an arithmetic number, because the mean of its divisors is an integer number (50583027).

Almost surely, 2^782583125 is an apocalyptic number.

It is an amenable number.

782583125 is a deficient number, since it is larger than the sum of its proper divisors (229077415).

782583125 is an equidigital number, since it uses as much as digits as its factorization.

782583125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43226 (or 43211 counting only the distinct ones).

The product of its digits is 134400, while the sum is 41.

The square root of 782583125 is about 27974.6872189842. The cubic root of 782583125 is about 921.5314462445.

The spelling of 782583125 in words is "seven hundred eighty-two million, five hundred eighty-three thousand, one hundred twenty-five".