5198422800025 has 81 divisors (see below), whose sum is σ = 8121254522013. Its totient is φ = 3289773614400.

The previous prime is 5198422800023. The next prime is 5198422800047. The reversal of 5198422800025 is 5200082248915.

The square root of 5198422800025 is 2280005.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1339901166681 + 3858521633344 = 1157541^2 + 1964312^2 .

It is not a de Polignac number, because 5198422800025 - 2¹ = 5198422800023 is a prime.

It is a super-2 number, since 2×5198422800025² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5198422800023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1037399770 + ... + 1037404780.

Almost surely, 2^{5198422800025} is an apocalyptic number.

5198422800025 is the 2280005-th square number.

5198422800025 is the 1140003-rd centered octagonal number.

It is an amenable number.

5198422800025 is a deficient number, since it is larger than the sum of its proper divisors (2922831721988).

5198422800025 is an frugal number, since it uses more digits than its factorization.

5198422800025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10072 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 5198422800025 in words is "five trillion, one hundred ninety-eight billion, four hundred twenty-two million, eight hundred thousand, twenty-five".