213400520 has 32 divisors (see below), whose sum is σ = 482268600. Its totient is φ = 84983808.

The previous prime is 213400493. The next prime is 213400543. The reversal of 213400520 is 25004312.

213400520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 175774564 + 37625956 = 13258^2 + 6134^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2489 + ... + 20808.

Almost surely, 2^213400520 is an apocalyptic number.

213400520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213400520 is an abundant number, since it is smaller than the sum of its proper divisors (268868080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213400520 is a wasteful number, since it uses less digits than its factorization.

213400520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23537 (or 23533 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 213400520 is about 14608.2346640516. The cubic root of 213400520 is about 597.5833535085.

Adding to 213400520 its reverse (25004312), we get a palindrome (238404832).

The spelling of 213400520 in words is "two hundred thirteen million, four hundred thousand, five hundred twenty".