257383340505 has 80 divisors (see below), whose sum is σ = 469776409344. Its totient is φ = 134790739200.

The previous prime is 257383340497. The next prime is 257383340527. The reversal of 257383340505 is 505043383752.

257383340505 is a `hidden beast` number, since 2 + 5 + 73 + 8 + 33 + 40 + 505 = 666.

It is not a de Polignac number, because 257383340505 - 2³ = 257383340497 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6692080 + ... + 6730430.

Almost surely, 2^257383340505 is an apocalyptic number.

It is an amenable number.

257383340505 is a deficient number, since it is larger than the sum of its proper divisors (212393068839).

257383340505 is a wasteful number, since it uses less digits than its factorization.

257383340505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38668 (or 38659 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 257383340505 in words is "two hundred fifty-seven billion, three hundred eighty-three million, three hundred forty thousand, five hundred five".