513506220 has 48 divisors (see below), whose sum is σ = 1452070368. Its totient is φ = 135577600.

The previous prime is 513506197. The next prime is 513506243. The reversal of 513506220 is 22605315.

It is an interprime number because it is at equal distance from previous prime (513506197) and next prime (513506243).

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 15 ways as a sum of consecutive naturals, for example, 36309 + ... + 48428.

It is an arithmetic number, because the mean of its divisors is an integer number (30251466).

Almost surely, 2^513506220 is an apocalyptic number.

It is an amenable number.

513506220 is an abundant number, since it is smaller than the sum of its proper divisors (938564148).

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

513506220 is a wasteful number, since it uses less digits than its factorization.

513506220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84850 (or 84848 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 513506220 is about 22660.6756298218. The cubic root of 513506220 is about 800.7837215583.

The spelling of 513506220 in words is "five hundred thirteen million, five hundred six thousand, two hundred twenty".