517340701696 has 495 divisors, whose sum is σ = 1375472841759. Its totient is φ = 193890557952.

The previous prime is 517340701667. The next prime is 517340701721. The reversal of 517340701696 is 696107043715.

The square root of 517340701696 is 719264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 256505783296 + 260834918400 = 506464^2 + 510720^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27228457975 + ... + 27228457993.

Almost surely, 2^517340701696 is an apocalyptic number.

517340701696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

517340701696 is the 719264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517340701696

517340701696 is an abundant number, since it is smaller than the sum of its proper divisors (858132140063).

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

517340701696 is an frugal number, since it uses more digits than its factorization.

517340701696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 517340701696 by its sum of digits (49), we get a square (25349694383104 = 5034848²).

517340701696 divided by its sum of digits (49) gives a square (10557973504 = 102752²).

The spelling of 517340701696 in words is "five hundred seventeen billion, three hundred forty million, seven hundred one thousand, six hundred ninety-six".