513414312 has 32 divisors (see below), whose sum is σ = 1324942080. Its totient is φ = 165617280.

The previous prime is 513414301. The next prime is 513414313. The reversal of 513414312 is 213414315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (513414313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344293 + ... + 345780.

It is an arithmetic number, because the mean of its divisors is an integer number (41404440).

Almost surely, 2^513414312 is an apocalyptic number.

It is an amenable number.

513414312 is an abundant number, since it is smaller than the sum of its proper divisors (811527768).

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

513414312 is a wasteful number, since it uses less digits than its factorization.

513414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690113 (or 690109 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 513414312 is about 22658.6476207209. The cubic root of 513414312 is about 800.7359436095.

Adding to 513414312 its reverse (213414315), we get a palindrome (726828627).

The spelling of 513414312 in words is "five hundred thirteen million, four hundred fourteen thousand, three hundred twelve".