505406165652 has 144 divisors (see below), whose sum is σ = 1396391855040. Its totient is φ = 159397051392.

The previous prime is 505406165651. The next prime is 505406165657. The reversal of 505406165652 is 256561604505.

505406165652 is a `hidden beast` number, since 5 + 0 + 540 + 6 + 1 + 6 + 56 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 505406165598 and 505406165607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505406165651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14701828 + ... + 14736164.

It is an arithmetic number, because the mean of its divisors is an integer number (9697165660).

Almost surely, 2^505406165652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505406165652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698195927520).

505406165652 is an abundant number, since it is smaller than the sum of its proper divisors (890985689388).

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

505406165652 is a wasteful number, since it uses less digits than its factorization.

505406165652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35172 (or 35158 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 505406165652 in words is "five hundred five billion, four hundred six million, one hundred sixty-five thousand, six hundred fifty-two".