213584425 has 24 divisors (see below), whose sum is σ = 272527200. Its totient is φ = 165982080.

The previous prime is 213584381. The next prime is 213584443. The reversal of 213584425 is 524485312.

It is not a de Polignac number, because 213584425 - 2⁷ = 213584297 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 23 ways as a sum of consecutive naturals, for example, 130462 + ... + 132088.

It is an arithmetic number, because the mean of its divisors is an integer number (11355300).

Almost surely, 2^213584425 is an apocalyptic number.

213584425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213584425 is a deficient number, since it is larger than the sum of its proper divisors (58942775).

213584425 is a wasteful number, since it uses less digits than its factorization.

213584425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1780 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

The square root of 213584425 is about 14614.5278746869. The cubic root of 213584425 is about 597.7549666676.

The spelling of 213584425 in words is "two hundred thirteen million, five hundred eighty-four thousand, four hundred twenty-five".