257047664929 has 8 divisors (see below), whose sum is σ = 289461300480. Its totient is φ = 226141640400.

The previous prime is 257047664927. The next prime is 257047664933. The reversal of 257047664929 is 929466740752.

It is a happy number.

257047664929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257047664929 - 2¹ = 257047664927 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257047664927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376902394 + ... + 376903075.

It is an arithmetic number, because the mean of its divisors is an integer number (36182662560).

Almost surely, 2^257047664929 is an apocalyptic number.

It is an amenable number.

257047664929 is a deficient number, since it is larger than the sum of its proper divisors (32413635551).

257047664929 is a wasteful number, since it uses less digits than its factorization.

257047664929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753805511.

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 257047664929 in words is "two hundred fifty-seven billion, forty-seven million, six hundred sixty-four thousand, nine hundred twenty-nine".