5201218461924 has 405 divisors, whose sum is σ = 15017558068513. Its totient is φ = 1569357103104.

The previous prime is 5201218461911. The next prime is 5201218461937. The reversal of 5201218461924 is 4291648121025.

The square root of 5201218461924 is 2280618.

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

5201218461924 is a `hidden beast` number, since 5 + 2 + 0 + 1 + 2 + 1 + 8 + 4 + 619 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (5201218461911) and next prime (5201218461937).

It can be written as a sum of positive squares in 13 ways, for example, as 195259701924 + 5005958760000 = 441882^2 + 2237400^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5201218461924.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 20238204004 + ... + 20238204260.

Almost surely, 2^{5201218461924} is an apocalyptic number.

5201218461924 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5201218461924 is the 2280618-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5201218461924

5201218461924 is an abundant number, since it is smaller than the sum of its proper divisors (9816339606589).

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

5201218461924 is a wasteful number, since it uses less digits than its factorization.

5201218461924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5201218461924 in words is "five trillion, two hundred one billion, two hundred eighteen million, four hundred sixty-one thousand, nine hundred twenty-four".