506010506010 has 96 divisors (see below), whose sum is σ = 1234037621376. Its totient is φ = 132786720000.

The previous prime is 506010506003. The next prime is 506010506039. The reversal of 506010506010 is 10605010605.

It is a super-2 number, since 2×506010506010² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51102060 + ... + 51111960.

It is an arithmetic number, because the mean of its divisors is an integer number (12854558556).

Almost surely, 2^506010506010 is an apocalyptic number.

506010506010 is an abundant number, since it is smaller than the sum of its proper divisors (728027115366).

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

506010506010 is a wasteful number, since it uses less digits than its factorization.

506010506010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 506010506010 its reverse (10605010605), we get a palindrome (516615516615).

The spelling of 506010506010 in words is "five hundred six billion, ten million, five hundred six thousand, ten".