213002401 has 8 divisors (see below), whose sum is σ = 227529864. Its totient is φ = 198696960.

The previous prime is 213002399. The next prime is 213002417. The reversal of 213002401 is 104200312.

It can be written as a sum of positive squares in 4 ways, for example, as 16974400 + 196028001 = 4120^2 + 14001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213002401 - 2¹ = 213002399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213002501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53520 + ... + 57361.

It is an arithmetic number, because the mean of its divisors is an integer number (28441233).

Almost surely, 2^213002401 is an apocalyptic number.

It is an amenable number.

213002401 is a deficient number, since it is larger than the sum of its proper divisors (14527463).

213002401 is a wasteful number, since it uses less digits than its factorization.

213002401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111011.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 213002401 is about 14594.6017759992. The cubic root of 213002401 is about 597.2115059483.

Adding to 213002401 its reverse (104200312), we get a palindrome (317202713).

The spelling of 213002401 in words is "two hundred thirteen million, two thousand, four hundred one".