506561292 has 72 divisors (see below), whose sum is σ = 1340591616. Its totient is φ = 160975584.

The previous prime is 506561287. The next prime is 506561303. The reversal of 506561292 is 292165605.

506561292 is a `hidden beast` number, since 5 + 0 + 6 + 561 + 2 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303043 + ... + 304709.

It is an arithmetic number, because the mean of its divisors is an integer number (18619328).

Almost surely, 2^506561292 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 506561292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670295808).

506561292 is an abundant number, since it is smaller than the sum of its proper divisors (834030324).

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

506561292 is a wasteful number, since it uses less digits than its factorization.

506561292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 506561292 is about 22506.9165369226. The cubic root of 506561292 is about 797.1572500140.

The spelling of 506561292 in words is "five hundred six million, five hundred sixty-one thousand, two hundred ninety-two".