505056001001 has 2 divisors, whose sum is σ = 505056001002. Its totient is φ = 505056001000.

The previous prime is 505056000971. The next prime is 505056001019. The reversal of 505056001001 is 100100650505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402063787225 + 102992213776 = 634085^2 + 320924^2 .

It is a cyclic number.

It is not a de Polignac number, because 505056001001 - 2³⁴ = 487876131817 is a prime.

It is a super-2 number, since 2×505056001001² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (505056004001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252528000500 + 252528000501.

It is an arithmetic number, because the mean of its divisors is an integer number (252528000501).

Almost surely, 2^505056001001 is an apocalyptic number.

It is an amenable number.

505056001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

505056001001 is an equidigital number, since it uses as much as digits as its factorization.

505056001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 505056001001 its reverse (100100650505), we get a palindrome (605156651506).

It can be divided in two parts, 50505 and 6001001, that added together give a palindrome (6051506).

The spelling of 505056001001 in words is "five hundred five billion, fifty-six million, one thousand, one".