504977424779405 has 16 divisors (see below), whose sum is σ = 609993789043968. Its totient is φ = 401301422160000.

The previous prime is 504977424779389. The next prime is 504977424779411.

504977424779405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504977424779405 - 2⁴ = 504977424779389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 55242785 + ... + 63731625.

It is an arithmetic number, because the mean of its divisors is an integer number (38124611815248).

Almost surely, 2^{504977424779405} is an apocalyptic number.

It is an amenable number.

504977424779405 is a deficient number, since it is larger than the sum of its proper divisors (105016364264563).

504977424779405 is a wasteful number, since it uses less digits than its factorization.

504977424779405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8567788.

The product of its (nonzero) digits is 2489356800, while the sum is 74.

The spelling of 504977424779405 in words is "five hundred four trillion, nine hundred seventy-seven billion, four hundred twenty-four million, seven hundred seventy-nine thousand, four hundred five".