517133661214240 has 48 divisors (see below), whose sum is σ = 1396260885281472. Its totient is φ = 177302969558784.

The previous prime is 517133661214231. The next prime is 517133661214271. The reversal of 517133661214240 is 42412166331715.

It is a happy number.

It is a super-2 number, since 2×517133661214240² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230863240494 + ... + 230863242733.

It is an arithmetic number, because the mean of its divisors is an integer number (29088768443364).

Almost surely, 2^{517133661214240} is an apocalyptic number.

It is an amenable number.

517133661214240 is an abundant number, since it is smaller than the sum of its proper divisors (879127224067232).

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

517133661214240 is a wasteful number, since it uses less digits than its factorization.

517133661214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461726483249 (or 461726483241 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 517133661214240 in words is "five hundred seventeen trillion, one hundred thirty-three billion, six hundred sixty-one million, two hundred fourteen thousand, two hundred forty".