516509136 has 240 divisors, whose sum is σ = 1763012160. Its totient is φ = 144322560.

The previous prime is 516509131. The next prime is 516509141. The reversal of 516509136 is 631905615.

516509136 is a `hidden beast` number, since 5 + 16 + 509 + 136 = 666.

It is an interprime number because it is at equal distance from previous prime (516509131) and next prime (516509141).

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

It is a self number, because there is not a number n which added to its sum of digits gives 516509136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516509131) 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, 555520 + ... + 556448.

It is an arithmetic number, because the mean of its divisors is an integer number (7345884).

Almost surely, 2^516509136 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 516509136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881506080).

516509136 is an abundant number, since it is smaller than the sum of its proper divisors (1246503024).

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

516509136 is a wasteful number, since it uses less digits than its factorization.

516509136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 516509136 is about 22726.8373514662. The cubic root of 516509136 is about 802.3416475045.

The spelling of 516509136 in words is "five hundred sixteen million, five hundred nine thousand, one hundred thirty-six".