503265105600401 has 2 divisors, whose sum is σ = 503265105600402. Its totient is φ = 503265105600400.

The previous prime is 503265105600353. The next prime is 503265105600443. The reversal of 503265105600401 is 104006501562305.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334066823475025 + 169198282125376 = 18277495^2 + 13007624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-503265105600401 is a prime.

It is not a weakly prime, because it can be changed into another prime (503265105605401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 251632552800200 + 251632552800201.

It is an arithmetic number, because the mean of its divisors is an integer number (251632552800201).

Almost surely, 2^{503265105600401} is an apocalyptic number.

It is an amenable number.

503265105600401 is a deficient number, since it is larger than the sum of its proper divisors (1).

503265105600401 is an equidigital number, since it uses as much as digits as its factorization.

503265105600401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 503265105600401 in words is "five hundred three trillion, two hundred sixty-five billion, one hundred five million, six hundred thousand, four hundred one".