511006105601 has 2 divisors, whose sum is σ = 511006105602. Its totient is φ = 511006105600.

The previous prime is 511006105573. The next prime is 511006105607. The reversal of 511006105601 is 106501600115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 510723193201 + 282912400 = 714649^2 + 16820^2 .

It is a cyclic number.

It is not a de Polignac number, because 511006105601 - 2⁶ = 511006105537 is a prime.

It is a super-2 number, since 2×511006105601² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (511006105607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255503052800 + 255503052801.

It is an arithmetic number, because the mean of its divisors is an integer number (255503052801).

Almost surely, 2^511006105601 is an apocalyptic number.

It is an amenable number.

511006105601 is a deficient number, since it is larger than the sum of its proper divisors (1).

511006105601 is an equidigital number, since it uses as much as digits as its factorization.

511006105601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 511006105601 its reverse (106501600115), we get a palindrome (617507705716).

The spelling of 511006105601 in words is "five hundred eleven billion, six million, one hundred five thousand, six hundred one".