10265513 has 2 divisors, whose sum is σ = 10265514. Its totient is φ = 10265512.

The previous prime is 10265509. The next prime is 10265543. The reversal of 10265513 is 31556201.

10265513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7856809 + 2408704 = 2803^2 + 1552^2 .

It is an emirp because it is prime and its reverse (31556201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10265513 - 2² = 10265509 is a prime.

It is equal to p₆₈₁₀₄₄ and since 10265513 and 681044 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10265503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5132756 + 5132757.

It is an arithmetic number, because the mean of its divisors is an integer number (5132757).

Almost surely, 2^10265513 is an apocalyptic number.

It is an amenable number.

10265513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10265513 is an equidigital number, since it uses as much as digits as its factorization.

10265513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 10265513 is about 3203.9839263018. The cubic root of 10265513 is about 217.3336059460. Note that the first 3 decimals are identical.

The spelling of 10265513 in words is "ten million, two hundred sixty-five thousand, five hundred thirteen".