782525 has 12 divisors (see below), whose sum is σ = 982452. Its totient is φ = 618240.

The previous prime is 782519. The next prime is 782539. The reversal of 782525 is 525287.

It can be written as a sum of positive squares in 6 ways, for example, as 284089 + 498436 = 533^2 + 706^2 .

It is not a de Polignac number, because 782525 - 2⁶ = 782461 is a prime.

It is a super-2 number, since 2×782525² = 1224690751250, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (5600) is a multiple of the sum of its prime factors (400).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2687 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (81871).

2⁷⁸²⁵²⁵ is an apocalyptic number.

It is an amenable number.

782525 is a deficient number, since it is larger than the sum of its proper divisors (199927).

782525 is a wasteful number, since it uses less digits than its factorization.

782525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 782525 is about 884.6044313703. The cubic root of 782525 is about 92.1508630631.

It can be divided in two parts, 7825 and 25, that multiplied together give a triangular number (195625 = T₆₂₅).

The spelling of 782525 in words is "seven hundred eighty-two thousand, five hundred twenty-five".