5122291509504 has 945 divisors, whose sum is σ = 17160291321999. Its totient is φ = 1525248092160.

The previous prime is 5122291509497. The next prime is 5122291509557. The reversal of 5122291509504 is 4059051922215.

The square root of 5122291509504 is 2263248.

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

5122291509504 is a `hidden beast` number, since 5 + 1 + 2 + 2 + 2 + 91 + 50 + 9 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2539713947904 + 2582577561600 = 1593648^2 + 1607040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5122291509504.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 165235209969 + ... + 165235209999.

Almost surely, 2^{5122291509504} is an apocalyptic number.

5122291509504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5122291509504 is the 2263248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5122291509504

5122291509504 is an abundant number, since it is smaller than the sum of its proper divisors (12037999812495).

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

5122291509504 is an frugal number, since it uses more digits than its factorization.

5122291509504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 5122291509504 in words is "five trillion, one hundred twenty-two billion, two hundred ninety-one million, five hundred nine thousand, five hundred four".