506465505 has 96 divisors (see below), whose sum is σ = 1086618624. Its totient is φ = 212502528.

The previous prime is 506465461. The next prime is 506465537. The reversal of 506465505 is 505564605.

It is a happy number.

506465505 is a `hidden beast` number, since 5 + 0 + 646 + 5 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 506465505 - 2⁶ = 506465441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506465505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1379832 + ... + 1380198.

It is an arithmetic number, because the mean of its divisors is an integer number (11318944).

Almost surely, 2^506465505 is an apocalyptic number.

It is an amenable number.

506465505 is an abundant number, since it is smaller than the sum of its proper divisors (580153119).

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

506465505 is a wasteful number, since it uses less digits than its factorization.

506465505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 506465505 is about 22504.7884904524. The cubic root of 506465505 is about 797.1070013300.

The spelling of 506465505 in words is "five hundred six million, four hundred sixty-five thousand, five hundred five".