5202404214401 has 2 divisors, whose sum is σ = 5202404214402. Its totient is φ = 5202404214400.

The previous prime is 5202404214377. The next prime is 5202404214473. The reversal of 5202404214401 is 1044124042025.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3896869454401 + 1305534760000 = 1974049^2 + 1142600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5202404214401 is a prime.

It is a super-2 number, since 2×5202404214401² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5202404214001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2601202107200 + 2601202107201.

It is an arithmetic number, because the mean of its divisors is an integer number (2601202107201).

Almost surely, 2^{5202404214401} is an apocalyptic number.

It is an amenable number.

5202404214401 is a deficient number, since it is larger than the sum of its proper divisors (1).

5202404214401 is an equidigital number, since it uses as much as digits as its factorization.

5202404214401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 5202404214401 its reverse (1044124042025), we get a palindrome (6246528256426).

The spelling of 5202404214401 in words is "five trillion, two hundred two billion, four hundred four million, two hundred fourteen thousand, four hundred one".