513209070 has 96 divisors (see below), whose sum is σ = 1483264224. Its totient is φ = 122054400.

The previous prime is 513209069. The next prime is 513209071. The reversal of 513209070 is 70902315.

It is an interprime number because it is at equal distance from previous prime (513209069) and next prime (513209071).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513209071) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 47580 + ... + 57360.

It is an arithmetic number, because the mean of its divisors is an integer number (15450669).

Almost surely, 2^513209070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513209070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741632112).

513209070 is an abundant number, since it is smaller than the sum of its proper divisors (970055154).

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

513209070 is a wasteful number, since it uses less digits than its factorization.

513209070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 513209070 is about 22654.1181686686. The cubic root of 513209070 is about 800.6292289173.

The spelling of 513209070 in words is "five hundred thirteen million, two hundred nine thousand, seventy".