10505018057 has 2 divisors, whose sum is σ = 10505018058. Its totient is φ = 10505018056.

The previous prime is 10505017981. The next prime is 10505018099. The reversal of 10505018057 is 75081050501.

It is a happy number.

10505018057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9943280656 + 561737401 = 99716^2 + 23701^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505018057 - 2²⁶ = 10437909193 is a prime.

It is a super-2 number, since 2×10505018057² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10505011057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252509028 + 5252509029.

It is an arithmetic number, because the mean of its divisors is an integer number (5252509029).

Almost surely, 2^10505018057 is an apocalyptic number.

It is an amenable number.

10505018057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505018057 is an equidigital number, since it uses as much as digits as its factorization.

10505018057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7000, while the sum is 32.

Adding to 10505018057 its reverse (75081050501), we get a palindrome (85586068558).

The spelling of 10505018057 in words is "ten billion, five hundred five million, eighteen thousand, fifty-seven".