497067025 has 63 divisors (see below), whose sum is σ = 778658961. Its totient is φ = 314627040.

The previous prime is 497067017. The next prime is 497067031. The reversal of 497067025 is 520760794.

The square root of 497067025 is 22295.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 128119761 + 368947264 = 11319^2 + 19208^2 .

It is not a de Polignac number, because 497067025 - 2³ = 497067017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 38235919 + ... + 38235931.

Almost surely, 2^497067025 is an apocalyptic number.

497067025 is the 22295-th square number.

497067025 is the 11148-th centered octagonal number.

It is an amenable number.

497067025 is a deficient number, since it is larger than the sum of its proper divisors (281591936).

497067025 is an frugal number, since it uses more digits than its factorization.

497067025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The cubic root of 497067025 is about 792.1455456633.

The spelling of 497067025 in words is "four hundred ninety-seven million, sixty-seven thousand, twenty-five".