257438542005 has 40 divisors (see below), whose sum is σ = 461618274744. Its totient is φ = 137260137600.

The previous prime is 257438541979. The next prime is 257438542019. The reversal of 257438542005 is 500245834752.

257438542005 is a `hidden beast` number, since 2 + 5 + 7 + 438 + 5 + 4 + 200 + 5 = 666.

257438542005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28723131441 + 228715410564 = 169479^2 + 478242^2 .

It is not a de Polignac number, because 257438542005 - 2²³ = 257430153397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1309875 + ... + 1493535.

Almost surely, 2^257438542005 is an apocalyptic number.

It is an amenable number.

257438542005 is a deficient number, since it is larger than the sum of its proper divisors (204179732739).

257438542005 is a wasteful number, since it uses less digits than its factorization.

257438542005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187139 (or 187130 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 257438542005 in words is "two hundred fifty-seven billion, four hundred thirty-eight million, five hundred forty-two thousand, five".