213066504 has 192 divisors, whose sum is σ = 706708800. Its totient is φ = 59270400.

The previous prime is 213066481. The next prime is 213066517. The reversal of 213066504 is 405660312.

213066504 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 6 + 650 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433699 + ... + 434189.

It is an arithmetic number, because the mean of its divisors is an integer number (3680775).

Almost surely, 2^213066504 is an apocalyptic number.

213066504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213066504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353354400).

213066504 is an abundant number, since it is smaller than the sum of its proper divisors (493642296).

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

213066504 is a wasteful number, since it uses less digits than its factorization.

213066504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 213066504 is about 14596.7977310094. The cubic root of 213066504 is about 597.2714101390.

The spelling of 213066504 in words is "two hundred thirteen million, sixty-six thousand, five hundred four".