213053724 has 144 divisors (see below), whose sum is σ = 625584960. Its totient is φ = 60549120.

The previous prime is 213053699. The next prime is 213053767. The reversal of 213053724 is 427350312.

213053724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485097 + ... + 485535.

It is an arithmetic number, because the mean of its divisors is an integer number (4344340).

Almost surely, 2^213053724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213053724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312792480).

213053724 is an abundant number, since it is smaller than the sum of its proper divisors (412531236).

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

213053724 is a wasteful number, since it uses less digits than its factorization.

213053724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 213053724 is about 14596.3599571948. The cubic root of 213053724 is about 597.2594682006.

The spelling of 213053724 in words is "two hundred thirteen million, fifty-three thousand, seven hundred twenty-four".