505406314125 has 112 divisors (see below), whose sum is σ = 947946046320. Its totient is φ = 268906521600.

The previous prime is 505406314117. The next prime is 505406314139. The reversal of 505406314125 is 521413604505.

505406314125 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 0 + 631 + 4 + 12 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 320968704681 + 184437609444 = 566541^2 + 429462^2 .

It is not a de Polignac number, because 505406314125 - 2³ = 505406314117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505406314125.

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 111 ways as a sum of consecutive naturals, for example, 39450721 + ... + 39463529.

It is an arithmetic number, because the mean of its divisors is an integer number (8463803985).

Almost surely, 2^505406314125 is an apocalyptic number.

It is an amenable number.

505406314125 is a deficient number, since it is larger than the sum of its proper divisors (442539732195).

505406314125 is an equidigital number, since it uses as much as digits as its factorization.

505406314125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275 (or 13250 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 505406314125 in words is "five hundred five billion, four hundred six million, three hundred fourteen thousand, one hundred twenty-five".