213253040 has 160 divisors (see below), whose sum is σ = 665957376. Its totient is φ = 61332480.

The previous prime is 213253021. The next prime is 213253043. The reversal of 213253040 is 40352312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (213253043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78749 + ... + 81411.

Almost surely, 2^213253040 is an apocalyptic number.

213253040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332978688).

213253040 is an abundant number, since it is smaller than the sum of its proper divisors (452704336).

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

213253040 is a wasteful number, since it uses less digits than its factorization.

213253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 213253040 is about 14603.1859537568. The cubic root of 213253040 is about 597.4456595247.

The spelling of 213253040 in words is "two hundred thirteen million, two hundred fifty-three thousand, forty".