10052849 has 2 divisors, whose sum is σ = 10052850. Its totient is φ = 10052848.

The previous prime is 10052839. The next prime is 10052851. The reversal of 10052849 is 94825001.

10052849 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., 5726449 + 4326400 = 2393^2 + 2080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10052849 is a prime.

Together with 10052851, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10052839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5026424 + 5026425.

It is an arithmetic number, because the mean of its divisors is an integer number (5026425).

Almost surely, 2^10052849 is an apocalyptic number.

It is an amenable number.

10052849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10052849 is an equidigital number, since it uses as much as digits as its factorization.

10052849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 10052849 is about 3170.6228094808. The cubic root of 10052849 is about 215.8223347589.

It can be divided in two parts, 10052 and 849, that added together give a palindrome (10901).

The spelling of 10052849 in words is "ten million, fifty-two thousand, eight hundred forty-nine".