1052121113 has 2 divisors, whose sum is σ = 1052121114. Its totient is φ = 1052121112.

The previous prime is 1052121061. The next prime is 1052121127. The reversal of 1052121113 is 3111212501.

1052121113 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., 1007872009 + 44249104 = 31747^2 + 6652^2 .

It is a cyclic number.

It is not a de Polignac number, because 1052121113 - 2⁸ = 1052120857 is a prime.

It is a super-2 number, since 2×1052121113² = 2213917672840717538, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1052121091 and 1052121100.

It is not a weakly prime, because it can be changed into another prime (1052121613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526060556 + 526060557.

It is an arithmetic number, because the mean of its divisors is an integer number (526060557).

Almost surely, 2^1052121113 is an apocalyptic number.

It is an amenable number.

1052121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1052121113 is an equidigital number, since it uses as much as digits as its factorization.

1052121113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 1052121113 is about 32436.4164635984. The cubic root of 1052121113 is about 1017.0803064789.

Adding to 1052121113 its reverse (3111212501), we get a palindrome (4163333614).

The spelling of 1052121113 in words is "one billion, fifty-two million, one hundred twenty-one thousand, one hundred thirteen".