213249528 has 192 divisors, whose sum is σ = 636854400. Its totient is φ = 64296960.

The previous prime is 213249511. The next prime is 213249563. The reversal of 213249528 is 825942312.

It is a happy number.

213249528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213249528² = 90950722384445568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213249492 and 213249501.

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, 4023550 + ... + 4023602.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2^213249528 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 213249528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

213249528 is an abundant number, since it is smaller than the sum of its proper divisors (423604872).

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

213249528 is a wasteful number, since it uses less digits than its factorization.

213249528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 213249528 is about 14603.0657055291. The cubic root of 213249528 is about 597.4423797893.

The spelling of 213249528 in words is "two hundred thirteen million, two hundred forty-nine thousand, five hundred twenty-eight".