513242132 has 36 divisors (see below), whose sum is σ = 978270300. Its totient is φ = 234215424.

The previous prime is 513242131. The next prime is 513242143. The reversal of 513242132 is 231242315.

It can be written as a sum of positive squares in 6 ways, for example, as 38416 + 513203716 = 196^2 + 22654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 513242098 and 513242107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513242131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488744 + ... + 489792.

It is an arithmetic number, because the mean of its divisors is an integer number (27174175).

Almost surely, 2^513242132 is an apocalyptic number.

513242132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

513242132 is a deficient number, since it is larger than the sum of its proper divisors (465028168).

513242132 is a wasteful number, since it uses less digits than its factorization.

513242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1161 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 513242132 is about 22654.8478697165. The cubic root of 513242132 is about 800.6464212837.

Adding to 513242132 its reverse (231242315), we get a palindrome (744484447).

The spelling of 513242132 in words is "five hundred thirteen million, two hundred forty-two thousand, one hundred thirty-two".