213153556409 has 2 divisors, whose sum is σ = 213153556410. Its totient is φ = 213153556408.

The previous prime is 213153556403. The next prime is 213153556433. The reversal of 213153556409 is 904655351312.

213153556409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172320463225 + 40833093184 = 415115^2 + 202072^2 .

It is a cyclic number.

It is not a de Polignac number, because 213153556409 - 2¹⁶ = 213153490873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213153556409.

It is not a weakly prime, because it can be changed into another prime (213153556403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106576778204 + 106576778205.

It is an arithmetic number, because the mean of its divisors is an integer number (106576778205).

Almost surely, 2^213153556409 is an apocalyptic number.

It is an amenable number.

213153556409 is a deficient number, since it is larger than the sum of its proper divisors (1).

213153556409 is an equidigital number, since it uses as much as digits as its factorization.

213153556409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486000, while the sum is 44.

The spelling of 213153556409 in words is "two hundred thirteen billion, one hundred fifty-three million, five hundred fifty-six thousand, four hundred nine".