213209753 has 2 divisors, whose sum is σ = 213209754. Its totient is φ = 213209752.

The previous prime is 213209707. The next prime is 213209761. The reversal of 213209753 is 357902312.

213209753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176570944 + 36638809 = 13288^2 + 6053^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213209753 is a prime.

It is not a weakly prime, because it can be changed into another prime (213209153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106604876 + 106604877.

It is an arithmetic number, because the mean of its divisors is an integer number (106604877).

Almost surely, 2^213209753 is an apocalyptic number.

It is an amenable number.

213209753 is a deficient number, since it is larger than the sum of its proper divisors (1).

213209753 is an equidigital number, since it uses as much as digits as its factorization.

213209753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 213209753 is about 14601.7037704509. The cubic root of 213209753 is about 597.4052327774.

The spelling of 213209753 in words is "two hundred thirteen million, two hundred nine thousand, seven hundred fifty-three".