505056001 has 2 divisors, whose sum is σ = 505056002. Its totient is φ = 505056000.

The previous prime is 505055987. The next prime is 505056023. The reversal of 505056001 is 100650505.

It is an a-pointer prime, because the next prime (505056023) can be obtained adding 505056001 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288966001 + 216090000 = 16999^2 + 14700^2 .

It is a cyclic number.

It is not a de Polignac number, because 505056001 - 2⁹ = 505055489 is a prime.

It is a super-2 number, since 2×505056001² = 510163128292224002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (505056091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252528000 + 252528001.

It is an arithmetic number, because the mean of its divisors is an integer number (252528001).

Almost surely, 2^505056001 is an apocalyptic number.

It is an amenable number.

505056001 is a deficient number, since it is larger than the sum of its proper divisors (1).

505056001 is an equidigital number, since it uses as much as digits as its factorization.

505056001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 505056001 is about 22473.4510255991. The cubic root of 505056001 is about 796.3668591913.

The spelling of 505056001 in words is "five hundred five million, fifty-six thousand, one".