513032226 has 64 divisors (see below), whose sum is σ = 1217120256. Its totient is φ = 141120000.

The previous prime is 513032173. The next prime is 513032251. The reversal of 513032226 is 622230315.

It is a junction number, because it is equal to n+sod(n) for n = 513032196 and 513032205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126226 + ... + 130226.

It is an arithmetic number, because the mean of its divisors is an integer number (19017504).

Almost surely, 2^513032226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513032226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608560128).

513032226 is an abundant number, since it is smaller than the sum of its proper divisors (704088030).

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

513032226 is a wasteful number, since it uses less digits than its factorization.

513032226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 513032226 is about 22650.2147009692. The cubic root of 513032226 is about 800.5372568214.

The spelling of 513032226 in words is "five hundred thirteen million, thirty-two thousand, two hundred twenty-six".