10505137 has 2 divisors, whose sum is σ = 10505138. Its totient is φ = 10505136.

The previous prime is 10505129. The next prime is 10505141. The reversal of 10505137 is 73150501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7134241 + 3370896 = 2671^2 + 1836^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505137 - 2³ = 10505129 is a prime.

It is a super-2 number, since 2×10505137² = 220715806777538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10505107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252568 + 5252569.

It is an arithmetic number, because the mean of its divisors is an integer number (5252569).

Almost surely, 2^10505137 is an apocalyptic number.

It is an amenable number.

10505137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505137 is an equidigital number, since it uses as much as digits as its factorization.

10505137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 10505137 is about 3241.1629085870. The cubic root of 10505137 is about 219.0116616324.

Adding to 10505137 its reverse (73150501), we get a palindrome (83655638).

The spelling of 10505137 in words is "ten million, five hundred five thousand, one hundred thirty-seven".