38509253 has 2 divisors, whose sum is σ = 38509254. Its totient is φ = 38509252.

The previous prime is 38509231. The next prime is 38509259. The reversal of 38509253 is 35290583.

38509253 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., 37920964 + 588289 = 6158^2 + 767^2 .

It is a cyclic number.

It is not a de Polignac number, because 38509253 - 2⁶ = 38509189 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38509259) 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, 19254626 + 19254627.

It is an arithmetic number, because the mean of its divisors is an integer number (19254627).

Almost surely, 2^38509253 is an apocalyptic number.

It is an amenable number.

38509253 is a deficient number, since it is larger than the sum of its proper divisors (1).

38509253 is an equidigital number, since it uses as much as digits as its factorization.

38509253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 38509253 is about 6205.5824061888. The cubic root of 38509253 is about 337.6927199272.

The spelling of 38509253 in words is "thirty-eight million, five hundred nine thousand, two hundred fifty-three".