506010510100 has 18 divisors (see below), whose sum is σ = 1098042807134. Its totient is φ = 202404204000.

The previous prime is 506010510077. The next prime is 506010510113. The reversal of 506010510100 is 1015010605.

It can be written as a sum of positive squares in 3 ways, for example, as 62046824464 + 443963685636 = 249092^2 + 666306^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2530052451 + ... + 2530052650.

Almost surely, 2^506010510100 is an apocalyptic number.

506010510100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506010510100 is an abundant number, since it is smaller than the sum of its proper divisors (592032297034).

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

506010510100 is a wasteful number, since it uses less digits than its factorization.

506010510100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060105115 (or 5060105108 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 506010510100 its reverse (1015010605), we get a palindrome (507025520705).

The spelling of 506010510100 in words is "five hundred six billion, ten million, five hundred ten thousand, one hundred".