507185212900 has 18 divisors (see below), whose sum is σ = 1100591912210. Its totient is φ = 202874085120.

The previous prime is 507185212883. The next prime is 507185212903. The reversal of 507185212900 is 9212581705.

It can be written as a sum of positive squares in 3 ways, for example, as 5187456576 + 501997756324 = 72024^2 + 708518^2 .

It is a super-5 number, since 5×507185212900⁵ (a number of 60 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (507185212903) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2535925965 + ... + 2535926164.

Almost surely, 2^507185212900 is an apocalyptic number.

507185212900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

507185212900 is an abundant number, since it is smaller than the sum of its proper divisors (593406699310).

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

507185212900 is a wasteful number, since it uses less digits than its factorization.

507185212900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071852143 (or 5071852136 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 507185212900 in words is "five hundred seven billion, one hundred eighty-five million, two hundred twelve thousand, nine hundred".