213751040 has 72 divisors (see below), whose sum is σ = 524617128. Its totient is φ = 83394560.

The previous prime is 213751039. The next prime is 213751049. The reversal of 213751040 is 40157312.

It can be written as a sum of positive squares in 4 ways, for example, as 7311616 + 206439424 = 2704^2 + 14368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213750997 and 213751015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213751049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50444 + ... + 54516.

It is an arithmetic number, because the mean of its divisors is an integer number (7286349).

Almost surely, 2^213751040 is an apocalyptic number.

213751040 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 213751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262308564).

213751040 is an abundant number, since it is smaller than the sum of its proper divisors (310866088).

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

213751040 is an equidigital number, since it uses as much as digits as its factorization.

213751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 213751040 is about 14620.2270844197. The cubic root of 213751040 is about 597.9103604224.

The spelling of 213751040 in words is "two hundred thirteen million, seven hundred fifty-one thousand, forty".