1038293257 has 2 divisors, whose sum is σ = 1038293258. Its totient is φ = 1038293256.

The previous prime is 1038293237. The next prime is 1038293273. The reversal of 1038293257 is 7523928301.

1038293257 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., 1035616761 + 2676496 = 32181^2 + 1636^2 .

It is a cyclic number.

It is not a de Polignac number, because 1038293257 - 2¹¹ = 1038291209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1038293237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 519146628 + 519146629.

It is an arithmetic number, because the mean of its divisors is an integer number (519146629).

Almost surely, 2^1038293257 is an apocalyptic number.

It is an amenable number.

1038293257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1038293257 is an equidigital number, since it uses as much as digits as its factorization.

1038293257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1038293257 is about 32222.5582007388. The cubic root of 1038293257 is about 1012.6048687193.

The spelling of 1038293257 in words is "one billion, thirty-eight million, two hundred ninety-three thousand, two hundred fifty-seven".