505010100047 has 2 divisors, whose sum is σ = 505010100048. Its totient is φ = 505010100046.

The previous prime is 505010099981. The next prime is 505010100053. The reversal of 505010100047 is 740001010505.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 505010100047 - 2³⁰ = 503936358223 is a prime.

It is a super-2 number, since 2×505010100047² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505010099995 and 505010100031.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505010100097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252505050023 + 252505050024.

It is an arithmetic number, because the mean of its divisors is an integer number (252505050024).

Almost surely, 2^505010100047 is an apocalyptic number.

505010100047 is a deficient number, since it is larger than the sum of its proper divisors (1).

505010100047 is an equidigital number, since it uses as much as digits as its factorization.

505010100047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 700, while the sum is 23.

The spelling of 505010100047 in words is "five hundred five billion, ten million, one hundred thousand, forty-seven".