497513025 has 27 divisors (see below), whose sum is σ = 891700771. Its totient is φ = 265161840.

The previous prime is 497512991. The next prime is 497513089. The reversal of 497513025 is 520315794.

The square root of 497513025 is 22305.

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

It can be written as a sum of positive squares in only one way, i.e., 179104689 + 318408336 = 13383^2 + 17844^2 .

It is not a de Polignac number, because 497513025 - 2⁹ = 497512513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 333832 + ... + 335318.

Almost surely, 2^497513025 is an apocalyptic number.

497513025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

497513025 is the 22305-th square number.

497513025 is the 11153-rd centered octagonal number.

It is an amenable number.

497513025 is a deficient number, since it is larger than the sum of its proper divisors (394187746).

497513025 is an equidigital number, since it uses as much as digits as its factorization.

497513025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The cubic root of 497513025 is about 792.3823958810.

Multiplying 497513025 by its sum of digits (36), we get a square (17910468900 = 133830²).

The spelling of 497513025 in words is "four hundred ninety-seven million, five hundred thirteen thousand, twenty-five".