10032053513 has 2 divisors, whose sum is σ = 10032053514. Its totient is φ = 10032053512.

The previous prime is 10032053477. The next prime is 10032053527. The reversal of 10032053513 is 31535023001.

10032053513 is digitally balanced in base 3, 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., 8743746064 + 1288307449 = 93508^2 + 35893^2 .

It is a cyclic number.

It is not a de Polignac number, because 10032053513 - 2¹⁴ = 10032037129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10032056513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016026756 + 5016026757.

It is an arithmetic number, because the mean of its divisors is an integer number (5016026757).

Almost surely, 2^10032053513 is an apocalyptic number.

It is an amenable number.

10032053513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032053513 is an equidigital number, since it uses as much as digits as its factorization.

10032053513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 23.

Adding to 10032053513 its reverse (31535023001), we get a palindrome (41567076514).

The spelling of 10032053513 in words is "ten billion, thirty-two million, fifty-three thousand, five hundred thirteen".