10129853 has 2 divisors, whose sum is σ = 10129854. Its totient is φ = 10129852.

The previous prime is 10129849. The next prime is 10129871. The reversal of 10129853 is 35892101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8421604 + 1708249 = 2902^2 + 1307^2 .

It is a cyclic number.

It is not a de Polignac number, because 10129853 - 2² = 10129849 is a prime.

It is a super-2 number, since 2×10129853² = 205227843603218, which contains 22 as substring.

It is equal to p₆₇₂₆₇₁ and since 10129853 and 672671 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10129813) 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, 5064926 + 5064927.

It is an arithmetic number, because the mean of its divisors is an integer number (5064927).

Almost surely, 2^10129853 is an apocalyptic number.

It is an amenable number.

10129853 is a deficient number, since it is larger than the sum of its proper divisors (1).

10129853 is an equidigital number, since it uses as much as digits as its factorization.

10129853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 10129853 is about 3182.7429993639. The cubic root of 10129853 is about 216.3719941594.

The spelling of 10129853 in words is "ten million, one hundred twenty-nine thousand, eight hundred fifty-three".