521279768106 has 16 divisors (see below), whose sum is σ = 1158399484800. Its totient is φ = 173759922684.

The previous prime is 521279768077. The next prime is 521279768131. The reversal of 521279768106 is 601867972125.

521279768106 is a `hidden beast` number, since 521 + 2 + 7 + 9 + 7 + 6 + 8 + 106 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 9653329039 = 521279768106 / (5 + 2 + 1 + 2 + 7 + 9 + 7 + 6 + 8 + 1 + 0 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4826664466 + ... + 4826664573.

It is an arithmetic number, because the mean of its divisors is an integer number (72399967800).

Almost surely, 2^521279768106 is an apocalyptic number.

521279768106 is an abundant number, since it is smaller than the sum of its proper divisors (637119716694).

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

521279768106 is a wasteful number, since it uses less digits than its factorization.

521279768106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653329050 (or 9653329044 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 521279768106 in words is "five hundred twenty-one billion, two hundred seventy-nine million, seven hundred sixty-eight thousand, one hundred six".