5205401004031 has 2 divisors, whose sum is σ = 5205401004032. Its totient is φ = 5205401004030.

The previous prime is 5205401003987. The next prime is 5205401004053. The reversal of 5205401004031 is 1304001045025.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 5205401004031 - 2²⁷ = 5205266786303 is a prime.

It is a super-3 number, since 3×5205401004031³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 5205401003987 and 5205401004005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5205401004061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2602700502015 + 2602700502016.

It is an arithmetic number, because the mean of its divisors is an integer number (2602700502016).

Almost surely, 2^{5205401004031} is an apocalyptic number.

5205401004031 is a deficient number, since it is larger than the sum of its proper divisors (1).

5205401004031 is an equidigital number, since it uses as much as digits as its factorization.

5205401004031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 5205401004031 its reverse (1304001045025), we get a palindrome (6509402049056).

The spelling of 5205401004031 in words is "five trillion, two hundred five billion, four hundred one million, four thousand, thirty-one".