213264401 has 8 divisors (see below), whose sum is σ = 243887040. Its totient is φ = 182680848.

The previous prime is 213264367. The next prime is 213264419. The reversal of 213264401 is 104462312.

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

It is not a de Polignac number, because 213264401 - 2¹⁰ = 213263377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213264451) 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, 3050 + ... + 20876.

It is an arithmetic number, because the mean of its divisors is an integer number (30485880).

Almost surely, 2^213264401 is an apocalyptic number.

It is an amenable number.

213264401 is a deficient number, since it is larger than the sum of its proper divisors (30622639).

213264401 is a wasteful number, since it uses less digits than its factorization.

213264401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19543.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 213264401 is about 14603.5749390346. The cubic root of 213264401 is about 597.4562689235.

The spelling of 213264401 in words is "two hundred thirteen million, two hundred sixty-four thousand, four hundred one".