513690648 has 64 divisors (see below), whose sum is σ = 1343865600. Its totient is φ = 163320960.

The previous prime is 513690643. The next prime is 513690689. The reversal of 513690648 is 846096315.

It is a super-3 number, since 3×513690648³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513690641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230178 + ... + 232398.

It is an arithmetic number, because the mean of its divisors is an integer number (20997900).

Almost surely, 2^513690648 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 513690648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671932800).

513690648 is an abundant number, since it is smaller than the sum of its proper divisors (830174952).

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

513690648 is a wasteful number, since it uses less digits than its factorization.

513690648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 513690648 is about 22664.7446047821. The cubic root of 513690648 is about 800.8795784062.

The spelling of 513690648 in words is "five hundred thirteen million, six hundred ninety thousand, six hundred forty-eight".