213514533000 has 288 divisors, whose sum is σ = 761672934360. Its totient is φ = 53939692800.

The previous prime is 213514532983. The next prime is 213514533013. The reversal of 213514533000 is 335415312.

213514533000 is a `hidden beast` number, since 2 + 1 + 351 + 4 + 5 + 3 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44430737796 + 169083795204 = 210786^2 + 411198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3216142 + ... + 3281858.

Almost surely, 2^213514533000 is an apocalyptic number.

213514533000 is a gapful number since it is divisible by the number (20) 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 213514533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380836467180).

213514533000 is an abundant number, since it is smaller than the sum of its proper divisors (548158401360).

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

213514533000 is a wasteful number, since it uses less digits than its factorization.

213514533000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65782 (or 65746 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 213514533000 its reverse (335415312), we get a palindrome (213849948312).

The spelling of 213514533000 in words is "two hundred thirteen billion, five hundred fourteen million, five hundred thirty-three thousand".