506105496 has 160 divisors (see below), whose sum is σ = 1549400160. Its totient is φ = 153404928.

The previous prime is 506105449. The next prime is 506105513. The reversal of 506105496 is 694501605.

506105496 is a `hidden beast` number, since 50 + 61 + 0 + 549 + 6 = 666.

It is a super-2 number, since 2×506105496² = 512285546162812032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 506105496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 614541 + ... + 615363.

It is an arithmetic number, because the mean of its divisors is an integer number (9683751).

Almost surely, 2^506105496 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 506105496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774700080).

506105496 is an abundant number, since it is smaller than the sum of its proper divisors (1043294664).

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

506105496 is a wasteful number, since it uses less digits than its factorization.

506105496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 914 counting only the distinct ones).

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

The square root of 506105496 is about 22496.7885708161. The cubic root of 506105496 is about 796.9180883552.

The spelling of 506105496 in words is "five hundred six million, one hundred five thousand, four hundred ninety-six".