212533001 has 2 divisors, whose sum is σ = 212533002. Its totient is φ = 212533000.

The previous prime is 212532907. The next prime is 212533019. The reversal of 212533001 is 100335212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184960000 + 27573001 = 13600^2 + 5251^2 .

It is a cyclic number.

It is not a de Polignac number, because 212533001 - 2¹⁴ = 212516617 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (212533081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106266500 + 106266501.

It is an arithmetic number, because the mean of its divisors is an integer number (106266501).

Almost surely, 2^212533001 is an apocalyptic number.

It is an amenable number.

212533001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212533001 is an equidigital number, since it uses as much as digits as its factorization.

212533001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 212533001 is about 14578.5116181317. The cubic root of 212533001 is about 596.7724854540.

Adding to 212533001 its reverse (100335212), we get a palindrome (312868213).

The spelling of 212533001 in words is "two hundred twelve million, five hundred thirty-three thousand, one".