506155104 has 432 divisors, whose sum is σ = 1882258560. Its totient is φ = 127733760.

The previous prime is 506155099. The next prime is 506155109. The reversal of 506155104 is 401551605.

It is a happy number.

506155104 is a `hidden beast` number, since 50 + 61 + 551 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (506155099) and next prime (506155109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506155109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5687092 + ... + 5687180.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^506155104 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 506155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941129280).

506155104 is an abundant number, since it is smaller than the sum of its proper divisors (1376103456).

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

506155104 is a wasteful number, since it uses less digits than its factorization.

506155104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 506155104 is about 22497.8911011677. The cubic root of 506155104 is about 796.9441252331.

The spelling of 506155104 in words is "five hundred six million, one hundred fifty-five thousand, one hundred four".