497923513 has 2 divisors, whose sum is σ = 497923514. Its totient is φ = 497923512.

The previous prime is 497923511. The next prime is 497923549. The reversal of 497923513 is 315329794.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310041664 + 187881849 = 17608^2 + 13707^2 .

It is a cyclic number.

It is not a de Polignac number, because 497923513 - 2¹ = 497923511 is a prime.

It is a super-2 number, since 2×497923513² = 495855649596522338, which contains 22 as substring.

Together with 497923511, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 497923513.

It is not a weakly prime, because it can be changed into another prime (497923511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 248961756 + 248961757.

It is an arithmetic number, because the mean of its divisors is an integer number (248961757).

Almost surely, 2^497923513 is an apocalyptic number.

It is an amenable number.

497923513 is a deficient number, since it is larger than the sum of its proper divisors (1).

497923513 is an equidigital number, since it uses as much as digits as its factorization.

497923513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 204120, while the sum is 43.

The square root of 497923513 is about 22314.1998064013. The cubic root of 497923513 is about 792.6002622372.

It can be divided in two parts, 497923 and 513, that added together give a square (498436 = 706²).

The spelling of 497923513 in words is "four hundred ninety-seven million, nine hundred twenty-three thousand, five hundred thirteen".