257830580505 has 16 divisors (see below), whose sum is σ = 412584120000. Its totient is φ = 137491245888.

The previous prime is 257830580503. The next prime is 257830580509. The reversal of 257830580505 is 505085038752.

257830580505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257830580505 - 2¹ = 257830580503 is a prime.

It is a super-5 number, since 5×257830580505⁵ (a number of 58 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (257830580503) 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 15 ways as a sum of consecutive naturals, for example, 1033582 + ... + 1258551.

It is an arithmetic number, because the mean of its divisors is an integer number (25786507500).

Almost surely, 2^257830580505 is an apocalyptic number.

It is an amenable number.

257830580505 is a deficient number, since it is larger than the sum of its proper divisors (154753539495).

257830580505 is a wasteful number, since it uses less digits than its factorization.

257830580505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299640.

The product of its (nonzero) digits is 1680000, while the sum is 48.

The spelling of 257830580505 in words is "two hundred fifty-seven billion, eight hundred thirty million, five hundred eighty thousand, five hundred five".