513141132 has 144 divisors (see below), whose sum is σ = 1530627840. Its totient is φ = 132789888.

The previous prime is 513141127. The next prime is 513141133. The reversal of 513141132 is 231141315.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 513141099 and 513141108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513141133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255958 + ... + 257954.

It is an arithmetic number, because the mean of its divisors is an integer number (10629360).

Almost surely, 2^513141132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513141132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765313920).

513141132 is an abundant number, since it is smaller than the sum of its proper divisors (1017486708).

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

513141132 is a wasteful number, since it uses less digits than its factorization.

513141132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 513141132 is about 22652.6186565704. The cubic root of 513141132 is about 800.5938985798.

Adding to 513141132 its reverse (231141315), we get a palindrome (744282447).

The spelling of 513141132 in words is "five hundred thirteen million, one hundred forty-one thousand, one hundred thirty-two".