497075628868993 has 16 divisors (see below), whose sum is σ = 529018789899600. Its totient is φ = 466219787729920.

The previous prime is 497075628868909. The next prime is 497075628869009. The reversal of 497075628868993 is 399868826570794.

It can be written as a sum of positive squares in 8 ways, for example, as 25155922362624 + 471919706506369 = 5015568^2 + 21723713^2 .

It is not a de Polignac number, because 497075628868993 - 2²⁹ = 497075091998081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 497075628868898 and 497075628868907.

It is not an unprimeable number, because it can be changed into a prime (497075628868193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896851558 + ... + 897405631.

It is an arithmetic number, because the mean of its divisors is an integer number (33063674368725).

Almost surely, 2^{497075628868993} is an apocalyptic number.

It is an amenable number.

497075628868993 is a deficient number, since it is larger than the sum of its proper divisors (31943161030607).

497075628868993 is a wasteful number, since it uses less digits than its factorization.

497075628868993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794257492.

The product of its (nonzero) digits is 79009136640, while the sum is 91.

The spelling of 497075628868993 in words is "four hundred ninety-seven trillion, seventy-five billion, six hundred twenty-eight million, eight hundred sixty-eight thousand, nine hundred ninety-three".