673753560052121 has 16 divisors (see below), whose sum is σ = 680685475285200. Its totient is φ = 666838872096768.

The previous prime is 673753560052033. The next prime is 673753560052159. The reversal of 673753560052121 is 121250065357376.

It can be written as a sum of positive squares in 8 ways, for example, as 130387623187600 + 543365936864521 = 11418740^2 + 23310211^2 .

It is a cyclic number.

It is not a de Polignac number, because 673753560052121 - 2³⁴ = 673736380182937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (673753560052171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696169685 + ... + 697136813.

It is an arithmetic number, because the mean of its divisors is an integer number (42542842205325).

Almost surely, 2^{673753560052121} is an apocalyptic number.

It is an amenable number.

673753560052121 is a deficient number, since it is larger than the sum of its proper divisors (6931915233079).

673753560052121 is a wasteful number, since it uses less digits than its factorization.

673753560052121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976028.

The product of its (nonzero) digits is 7938000, while the sum is 53.

The spelling of 673753560052121 in words is "six hundred seventy-three trillion, seven hundred fifty-three billion, five hundred sixty million, fifty-two thousand, one hundred twenty-one".