506610106500 has 192 divisors, whose sum is σ = 1612418476032. Its totient is φ = 123047424000.

The previous prime is 506610106463. The next prime is 506610106511. The reversal of 506610106500 is 5601016605.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470064 + ... + 1110936.

It is an arithmetic number, because the mean of its divisors is an integer number (8398012896).

Almost surely, 2^506610106500 is an apocalyptic number.

506610106500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506610106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806209238016).

506610106500 is an abundant number, since it is smaller than the sum of its proper divisors (1105808369532).

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

506610106500 is a wasteful number, since it uses less digits than its factorization.

506610106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640943 (or 640931 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 506610106500 in words is "five hundred six billion, six hundred ten million, one hundred six thousand, five hundred".