513426704 has 60 divisors (see below), whose sum is σ = 1160516124. Its totient is φ = 219405312.

The previous prime is 513426679. The next prime is 513426713. The reversal of 513426704 is 407624315.

It can be written as a sum of positive squares in 2 ways, for example, as 435139600 + 78287104 = 20860^2 + 8848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357572 + ... + 359004.

Almost surely, 2^513426704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513426704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580258062).

513426704 is an abundant number, since it is smaller than the sum of its proper divisors (647089420).

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

513426704 is a wasteful number, since it uses less digits than its factorization.

513426704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 513426704 is about 22658.9210687535. The cubic root of 513426704 is about 800.7423858659.

The spelling of 513426704 in words is "five hundred thirteen million, four hundred twenty-six thousand, seven hundred four".