522503664768 has 360 divisors, whose sum is σ = 1613787559065. Its totient is φ = 167813544960.

The previous prime is 522503664733. The next prime is 522503664803. The reversal of 522503664768 is 867466305225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

522503664768 is a `hidden beast` number, since 5 + 2 + 2 + 503 + 6 + 64 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (522503664733) and next prime (522503664803).

It can be written as a sum of positive squares in 2 ways, for example, as 393369804864 + 129133859904 = 627192^2 + 359352^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=511128.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2281675278 + ... + 2281675506.

Almost surely, 2^522503664768 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 522503664768

522503664768 is an abundant number, since it is smaller than the sum of its proper divisors (1091283894297).

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

522503664768 is an frugal number, since it uses more digits than its factorization.

522503664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 522503664768 in words is "five hundred twenty-two billion, five hundred three million, six hundred sixty-four thousand, seven hundred sixty-eight".