1338008577 has 16 divisors (see below), whose sum is σ = 1842647040. Its totient is φ = 862722000.

The previous prime is 1338008513. The next prime is 1338008593. The reversal of 1338008577 is 7758008331.

It is not a de Polignac number, because 1338008577 - 2⁶ = 1338008513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1338008377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214452 + ... + 220602.

It is an arithmetic number, because the mean of its divisors is an integer number (115165440).

Almost surely, 2^1338008577 is an apocalyptic number.

It is an amenable number.

1338008577 is a deficient number, since it is larger than the sum of its proper divisors (504638463).

1338008577 is a wasteful number, since it uses less digits than its factorization.

1338008577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524.

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 1338008577 is about 36578.7995565738. The cubic root of 1338008577 is about 1101.9273584835.

The spelling of 1338008577 in words is "one billion, three hundred thirty-eight million, eight thousand, five hundred seventy-seven".