506085418100 has 36 divisors (see below), whose sum is σ = 1098276375084. Its totient is φ = 202421076480.

The previous prime is 506085418073. The next prime is 506085418123. The reversal of 506085418100 is 1814580605.

It can be written as a sum of positive squares in 6 ways, for example, as 74746466404 + 431338951696 = 273398^2 + 656764^2 .

It is a super-2 number, since 2×506085418100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1471802 + ... + 1782798.

Almost surely, 2^506085418100 is an apocalyptic number.

506085418100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506085418100 is an abundant number, since it is smaller than the sum of its proper divisors (592190956984).

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

506085418100 is a wasteful number, since it uses less digits than its factorization.

506085418100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327284 (or 327277 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

Adding to 506085418100 its reverse (1814580605), we get a palindrome (507899998705).

The spelling of 506085418100 in words is "five hundred six billion, eighty-five million, four hundred eighteen thousand, one hundred".