522157010040 has 512 divisors, whose sum is σ = 1818847641600. Its totient is φ = 134809339392.

The previous prime is 522157009993. The next prime is 522157010041. The reversal of 522157010040 is 40010751225.

522157010040 is a `hidden beast` number, since 52 + 2 + 1 + 570 + 1 + 0 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 522157009986 and 522157010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (522157010041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 477727734 + ... + 477728826.

It is an arithmetic number, because the mean of its divisors is an integer number (3552436800).

Almost surely, 2^522157010040 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 522157010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909423820800).

522157010040 is an abundant number, since it is smaller than the sum of its proper divisors (1296690631560).

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

522157010040 is a wasteful number, since it uses less digits than its factorization.

522157010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 522157010040 its reverse (40010751225), we get a palindrome (562167761265).

The spelling of 522157010040 in words is "five hundred twenty-two billion, one hundred fifty-seven million, ten thousand, forty".