213052416 has 88 divisors (see below), whose sum is σ = 572242944. Its totient is φ = 70471680.

The previous prime is 213052409. The next prime is 213052459. The reversal of 213052416 is 614250312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684901 + ... + 685211.

Almost surely, 2^213052416 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 213052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286121472).

213052416 is an abundant number, since it is smaller than the sum of its proper divisors (359190528).

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

213052416 is a wasteful number, since it uses less digits than its factorization.

213052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 213052416 is about 14596.3151514346. The cubic root of 213052416 is about 597.2582459471.

The spelling of 213052416 in words is "two hundred thirteen million, fifty-two thousand, four hundred sixteen".