505364541001 has 2 divisors, whose sum is σ = 505364541002. Its totient is φ = 505364541000.

The previous prime is 505364540999. The next prime is 505364541049. The reversal of 505364541001 is 100145463505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 285332247225 + 220032293776 = 534165^2 + 469076^2 .

It is a cyclic number.

It is not a de Polignac number, because 505364541001 - 2¹ = 505364540999 is a prime.

Together with 505364540999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (505364541061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252682270500 + 252682270501.

It is an arithmetic number, because the mean of its divisors is an integer number (252682270501).

Almost surely, 2^505364541001 is an apocalyptic number.

It is an amenable number.

505364541001 is a deficient number, since it is larger than the sum of its proper divisors (1).

505364541001 is an equidigital number, since it uses as much as digits as its factorization.

505364541001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 505364541001 in words is "five hundred five billion, three hundred sixty-four million, five hundred forty-one thousand, one".