516251232 has 240 divisors, whose sum is σ = 1784391840. Its totient is φ = 143327232.

The previous prime is 516251231. The next prime is 516251251. The reversal of 516251232 is 232152615.

It is a happy number.

516251232 is a `hidden beast` number, since 5 + 1 + 625 + 1 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 516251196 and 516251205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516251231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 670944 + ... + 671712.

It is an arithmetic number, because the mean of its divisors is an integer number (7434966).

Almost surely, 2^516251232 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 516251232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892195920).

516251232 is an abundant number, since it is smaller than the sum of its proper divisors (1268140608).

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

516251232 is a wasteful number, since it uses less digits than its factorization.

516251232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 818 counting only the distinct ones).

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

The square root of 516251232 is about 22721.1626463084. The cubic root of 516251232 is about 802.2080831869.

The spelling of 516251232 in words is "five hundred sixteen million, two hundred fifty-one thousand, two hundred thirty-two".