513616896 has 176 divisors, whose sum is σ = 1639237600. Its totient is φ = 157925376.

The previous prime is 513616891. The next prime is 513616907. The reversal of 513616896 is 698616315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513616891) 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, 358710 + ... + 360138.

It is an arithmetic number, because the mean of its divisors is an integer number (9313850).

Almost surely, 2^513616896 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 513616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819618800).

513616896 is an abundant number, since it is smaller than the sum of its proper divisors (1125620704).

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

513616896 is a wasteful number, since it uses less digits than its factorization.

513616896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1447 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 513616896 is about 22663.1175260598. The cubic root of 513616896 is about 800.8412483997.

The spelling of 513616896 in words is "five hundred thirteen million, six hundred sixteen thousand, eight hundred ninety-six".