213416280900 has 567 divisors, whose sum is σ = 731516249191. Its totient is φ = 54017228160.

The previous prime is 213416280887. The next prime is 213416280911. The reversal of 213416280900 is 9082614312.

The square root of 213416280900 is 461970.

It is a perfect power (a square), and thus also a powerful number.

213416280900 is a `hidden beast` number, since 21 + 3 + 4 + 1 + 628 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2933522244 + 210482758656 = 54162^2 + 458784^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3617225071 + ... + 3617225129.

Almost surely, 2^213416280900 is an apocalyptic number.

213416280900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

213416280900 is the 461970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213416280900

213416280900 is an abundant number, since it is smaller than the sum of its proper divisors (518099968291).

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

213416280900 is an equidigital number, since it uses as much as digits as its factorization.

213416280900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 213416280900 by its sum of digits (36), we get a square (7682986112400 = 2771820²).

213416280900 divided by its sum of digits (36) gives a square (5928230025 = 76995²).

The spelling of 213416280900 in words is "two hundred thirteen billion, four hundred sixteen million, two hundred eighty thousand, nine hundred".