213401525 has 24 divisors (see below), whose sum is σ = 271188000. Its totient is φ = 166529600.

The previous prime is 213401509. The next prime is 213401563. The reversal of 213401525 is 525104312.

It is not a de Polignac number, because 213401525 - 2⁴ = 213401509 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213401525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219290 + ... + 220260.

It is an arithmetic number, because the mean of its divisors is an integer number (11299500).

Almost surely, 2^213401525 is an apocalyptic number.

213401525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213401525 is a deficient number, since it is larger than the sum of its proper divisors (57786475).

213401525 is a wasteful number, since it uses less digits than its factorization.

213401525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 213401525 is about 14608.2690624180. The cubic root of 213401525 is about 597.5842916042.

Adding to 213401525 its reverse (525104312), we get a palindrome (738505837).

The spelling of 213401525 in words is "two hundred thirteen million, four hundred one thousand, five hundred twenty-five".