513211830 has 64 divisors (see below), whose sum is σ = 1269252288. Its totient is φ = 132710400.

The previous prime is 513211813. The next prime is 513211873. The reversal of 513211830 is 38112315.

It is a self number, because there is not a number n which added to its sum of digits gives 513211830.

It is a congruent number.

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, 444534 + ... + 445686.

It is an arithmetic number, because the mean of its divisors is an integer number (19832067).

Almost surely, 2^513211830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513211830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634626144).

513211830 is an abundant number, since it is smaller than the sum of its proper divisors (756040458).

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

513211830 is a wasteful number, since it uses less digits than its factorization.

513211830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 513211830 is about 22654.1790846634. The cubic root of 513211830 is about 800.6306641561.

The spelling of 513211830 in words is "five hundred thirteen million, two hundred eleven thousand, eight hundred thirty".