516633066 has 48 divisors (see below), whose sum is σ = 1221948000. Its totient is φ = 163144368.

The previous prime is 516633053. The next prime is 516633101. The reversal of 516633066 is 660336615.

It is a happy number.

516633066 is a `hidden beast` number, since 5 + 16 + 633 + 0 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 516633066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18741 + ... + 37208.

It is an arithmetic number, because the mean of its divisors is an integer number (25457250).

Almost surely, 2^516633066 is an apocalyptic number.

516633066 is an abundant number, since it is smaller than the sum of its proper divisors (705314934).

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

516633066 is a wasteful number, since it uses less digits than its factorization.

516633066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55985 (or 55973 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 516633066 is about 22729.5637001681. The cubic root of 516633066 is about 802.4058130354.

The spelling of 516633066 in words is "five hundred sixteen million, six hundred thirty-three thousand, sixty-six".