505520106018125 has 80 divisors (see below), whose sum is σ = 725698833288000. Its totient is φ = 348154925760000.

The previous prime is 505520106018113. The next prime is 505520106018229. The reversal of 505520106018125 is 521810601025505.

It is not a de Polignac number, because 505520106018125 - 2³⁰ = 505519032276301 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 79 ways as a sum of consecutive naturals, for example, 311253161 + ... + 312873089.

It is an arithmetic number, because the mean of its divisors is an integer number (9071235416100).

Almost surely, 2^{505520106018125} is an apocalyptic number.

505520106018125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505520106018125 is a deficient number, since it is larger than the sum of its proper divisors (220178727269875).

505520106018125 is a wasteful number, since it uses less digits than its factorization.

505520106018125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622368 (or 1622353 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 41.

The spelling of 505520106018125 in words is "five hundred five trillion, five hundred twenty billion, one hundred six million, eighteen thousand, one hundred twenty-five".