505757825 has 24 divisors (see below), whose sum is σ = 650698680. Its totient is φ = 389491200.

The previous prime is 505757821. The next prime is 505757843. The reversal of 505757825 is 528757505.

It can be written as a sum of positive squares in 12 ways, for example, as 345811216 + 159946609 = 18596^2 + 12647^2 .

It is not a de Polignac number, because 505757825 - 2² = 505757821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505757821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304397 + ... + 306053.

It is an arithmetic number, because the mean of its divisors is an integer number (27112445).

Almost surely, 2^505757825 is an apocalyptic number.

It is an amenable number.

505757825 is a deficient number, since it is larger than the sum of its proper divisors (144940855).

505757825 is a wasteful number, since it uses less digits than its factorization.

505757825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 44.

The square root of 505757825 is about 22489.0601181997. The cubic root of 505757825 is about 796.7355646332.

The spelling of 505757825 in words is "five hundred five million, seven hundred fifty-seven thousand, eight hundred twenty-five".