1038820257 has 24 divisors (see below), whose sum is σ = 1532793600. Its totient is φ = 677756448.

The previous prime is 1038820243. The next prime is 1038820267. The reversal of 1038820257 is 7520288301.

1038820257 is a `hidden beast` number, since 1 + 0 + 388 + 20 + 257 = 666.

It is not a de Polignac number, because 1038820257 - 2⁷ = 1038820129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1038820267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117328 + ... + 125870.

It is an arithmetic number, because the mean of its divisors is an integer number (63866400).

Almost surely, 2^1038820257 is an apocalyptic number.

It is an amenable number.

1038820257 is a deficient number, since it is larger than the sum of its proper divisors (493973343).

1038820257 is a wasteful number, since it uses less digits than its factorization.

1038820257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8837 (or 8834 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1038820257 is about 32230.7346642921. The cubic root of 1038820257 is about 1012.7761602441.

The spelling of 1038820257 in words is "one billion, thirty-eight million, eight hundred twenty thousand, two hundred fifty-seven".