513735222 has 128 divisors (see below), whose sum is σ = 1439907840. Its totient is φ = 117786240.

The previous prime is 513735181. The next prime is 513735241. The reversal of 513735222 is 222537315.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 513735222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136279 + ... + 139997.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2^513735222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513735222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

513735222 is an abundant number, since it is smaller than the sum of its proper divisors (926172618).

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

513735222 is a wasteful number, since it uses less digits than its factorization.

513735222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778.

The product of its digits is 12600, while the sum is 30.

The square root of 513735222 is about 22665.7279168351. The cubic root of 513735222 is about 800.9027423954.

The spelling of 513735222 in words is "five hundred thirteen million, seven hundred thirty-five thousand, two hundred twenty-two".