213553505 has 48 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 146129280.

The previous prime is 213553499. The next prime is 213553517. The reversal of 213553505 is 505355312.

It is not a de Polignac number, because 213553505 - 2¹⁶ = 213487969 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1433171 + ... + 1433319.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2^213553505 is an apocalyptic number.

It is an amenable number.

213553505 is a deficient number, since it is larger than the sum of its proper divisors (85217695).

213553505 is a wasteful number, since it uses less digits than its factorization.

213553505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 29.

The square root of 213553505 is about 14613.4699849146. The cubic root of 213553505 is about 597.7261201891.

The spelling of 213553505 in words is "two hundred thirteen million, five hundred fifty-three thousand, five hundred five".