513096909696 has 768 divisors, whose sum is σ = 1861521868800. Its totient is φ = 138509844480.

The previous prime is 513096909691. The next prime is 513096909697. The reversal of 513096909696 is 696909690315.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513096909691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225734416 + ... + 225736688.

It is an arithmetic number, because the mean of its divisors is an integer number (2423856600).

Almost surely, 2^513096909696 is an apocalyptic number.

513096909696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513096909696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930760934400).

513096909696 is an abundant number, since it is smaller than the sum of its proper divisors (1348424959104).

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

513096909696 is a wasteful number, since it uses less digits than its factorization.

513096909696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 63.

The spelling of 513096909696 in words is "five hundred thirteen billion, ninety-six million, nine hundred nine thousand, six hundred ninety-six".