10146405533513 has 2 divisors, whose sum is σ = 10146405533514. Its totient is φ = 10146405533512.

The previous prime is 10146405533447. The next prime is 10146405533533. The reversal of 10146405533513 is 31533550464101.

10146405533513 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., 5829535000249 + 4316870533264 = 2414443^2 + 2077708^2 .

It is a cyclic number.

It is not a de Polignac number, because 10146405533513 - 2³⁰ = 10145331791689 is a prime.

It is a super-2 number, since 2×10146405533513² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10146405533533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5073202766756 + 5073202766757.

It is an arithmetic number, because the mean of its divisors is an integer number (5073202766757).

Almost surely, 2^{10146405533513} is an apocalyptic number.

It is an amenable number.

10146405533513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10146405533513 is an equidigital number, since it uses as much as digits as its factorization.

10146405533513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324000, while the sum is 41.

Adding to 10146405533513 its reverse (31533550464101), we get a palindrome (41679955997614).

The spelling of 10146405533513 in words is "ten trillion, one hundred forty-six billion, four hundred five million, five hundred thirty-three thousand, five hundred thirteen".