505305528001 has 2 divisors, whose sum is σ = 505305528002. Its totient is φ = 505305528000.

The previous prime is 505305527999. The next prime is 505305528011. The reversal of 505305528001 is 100825503505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 446838771600 + 58466756401 = 668460^2 + 241799^2 .

It is a cyclic number.

It is not a de Polignac number, because 505305528001 - 2¹ = 505305527999 is a prime.

Together with 505305527999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (505305528011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252652764000 + 252652764001.

It is an arithmetic number, because the mean of its divisors is an integer number (252652764001).

Almost surely, 2^505305528001 is an apocalyptic number.

It is an amenable number.

505305528001 is a deficient number, since it is larger than the sum of its proper divisors (1).

505305528001 is an equidigital number, since it uses as much as digits as its factorization.

505305528001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30000, while the sum is 34.

The spelling of 505305528001 in words is "five hundred five billion, three hundred five million, five hundred twenty-eight thousand, one".