213025512 has 64 divisors (see below), whose sum is σ = 611020800. Its totient is φ = 60626880.

The previous prime is 213025447. The next prime is 213025513. The reversal of 213025512 is 215520312.

It is a super-3 number, since 3×213025512³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (213025513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43189 + ... + 47867.

It is an arithmetic number, because the mean of its divisors is an integer number (9547200).

Almost surely, 2^213025512 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 213025512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305510400).

213025512 is an abundant number, since it is smaller than the sum of its proper divisors (397995288).

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

213025512 is a wasteful number, since it uses less digits than its factorization.

213025512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 213025512 is about 14595.3935198747. The cubic root of 213025512 is about 597.2331045404.

Adding to 213025512 its reverse (215520312), we get a palindrome (428545824).

The spelling of 213025512 in words is "two hundred thirteen million, twenty-five thousand, five hundred twelve".