513876132 has 216 divisors, whose sum is σ = 1676106432. Its totient is φ = 131241600.

The previous prime is 513876089. The next prime is 513876133. The reversal of 513876132 is 231678315.

513876132 is a `hidden beast` number, since 5 + 1 + 38 + 7 + 613 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (513876133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1377498 + ... + 1377870.

It is an arithmetic number, because the mean of its divisors is an integer number (7759752).

Almost surely, 2^513876132 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 513876132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838053216).

513876132 is an abundant number, since it is smaller than the sum of its proper divisors (1162230300).

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

513876132 is a wasteful number, since it uses less digits than its factorization.

513876132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 513876132 is about 22668.8361412755. The cubic root of 513876132 is about 800.9759609744.

The spelling of 513876132 in words is "five hundred thirteen million, eight hundred seventy-six thousand, one hundred thirty-two".