505406320506 has 96 divisors (see below), whose sum is σ = 1122788272320. Its totient is φ = 164255807232.

The previous prime is 505406320493. The next prime is 505406320511. The reversal of 505406320506 is 605023604505.

It is a happy number.

505406320506 is a `hidden beast` number, since 5 + 0 + 540 + 63 + 2 + 0 + 50 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188372241 + ... + 188374923.

It is an arithmetic number, because the mean of its divisors is an integer number (11695711170).

Almost surely, 2^505406320506 is an apocalyptic number.

505406320506 is an abundant number, since it is smaller than the sum of its proper divisors (617381951814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505406320506 is a wasteful number, since it uses less digits than its factorization.

505406320506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 505406320506 in words is "five hundred five billion, four hundred six million, three hundred twenty thousand, five hundred six".