507212133 has 24 divisors (see below), whose sum is σ = 704196000. Its totient is φ = 324646560.

The previous prime is 507212131. The next prime is 507212141. The reversal of 507212133 is 331212705.

It is not a de Polignac number, because 507212133 - 2¹ = 507212131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507212131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337618 + ... + 339116.

It is an arithmetic number, because the mean of its divisors is an integer number (29341500).

Almost surely, 2^507212133 is an apocalyptic number.

It is an amenable number.

507212133 is a deficient number, since it is larger than the sum of its proper divisors (196983867).

507212133 is a wasteful number, since it uses less digits than its factorization.

507212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 507212133 is about 22521.3705844027. The cubic root of 507212133 is about 797.4985055805.

Adding to 507212133 its reverse (331212705), we get a palindrome (838424838).

It can be divided in two parts, 5072 and 12133, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 507212133 in words is "five hundred seven million, two hundred twelve thousand, one hundred thirty-three".