505600006001 has 2 divisors, whose sum is σ = 505600006002. Its totient is φ = 505600006000.

The previous prime is 505600005979. The next prime is 505600006033. The reversal of 505600006001 is 100600006505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 430271714401 + 75328291600 = 655951^2 + 274460^2 .

It is a cyclic number.

It is not a de Polignac number, because 505600006001 - 2¹⁴ = 505599989617 is a prime.

It is a super-2 number, since 2×505600006001² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (505600006201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252800003000 + 252800003001.

It is an arithmetic number, because the mean of its divisors is an integer number (252800003001).

Almost surely, 2^505600006001 is an apocalyptic number.

It is an amenable number.

505600006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

505600006001 is an equidigital number, since it uses as much as digits as its factorization.

505600006001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 505600006001 in words is "five hundred five billion, six hundred million, six thousand, one".