513216252 has 18 divisors (see below), whose sum is σ = 1297296728. Its totient is φ = 171072072.

The previous prime is 513216203. The next prime is 513216259. The reversal of 513216252 is 252612315.

It is a happy number.

513216252 is a `hidden beast` number, since 5 + 1 + 32 + 1 + 625 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513216259) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7127968 + ... + 7128039.

Almost surely, 2^513216252 is an apocalyptic number.

It is an amenable number.

513216252 is an abundant number, since it is smaller than the sum of its proper divisors (784080476).

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

513216252 is a wasteful number, since it uses less digits than its factorization.

513216252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14256017 (or 14256012 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 513216252 is about 22654.2766823397. The cubic root of 513216252 is about 800.6329636475.

Adding to 513216252 its reverse (252612315), we get a palindrome (765828567).

The spelling of 513216252 in words is "five hundred thirteen million, two hundred sixteen thousand, two hundred fifty-two".