10413257 has 2 divisors, whose sum is σ = 10413258. Its totient is φ = 10413256.

The previous prime is 10413253. The next prime is 10413283. The reversal of 10413257 is 75231401.

10413257 is digitally balanced in base 3, 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., 10374841 + 38416 = 3221^2 + 196^2 .

It is a cyclic number.

It is not a de Polignac number, because 10413257 - 2² = 10413253 is a prime.

It is a Chen prime.

It is a nialpdrome in base 15.

It is not a weakly prime, because it can be changed into another prime (10413251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5206628 + 5206629.

It is an arithmetic number, because the mean of its divisors is an integer number (5206629).

Almost surely, 2^10413257 is an apocalyptic number.

It is an amenable number.

10413257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10413257 is an equidigital number, since it uses as much as digits as its factorization.

10413257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10413257 is about 3226.9578553182. The cubic root of 10413257 is about 218.3712846381.

Adding to 10413257 its reverse (75231401), we get a palindrome (85644658).

It can be divided in two parts, 10413 and 257, that multiplied together give a triangular number (2676141 = T₂₃₁₃).

The spelling of 10413257 in words is "ten million, four hundred thirteen thousand, two hundred fifty-seven".