257775510745 has 24 divisors (see below), whose sum is σ = 321234169608. Its totient is φ = 198523488000.

The previous prime is 257775510721. The next prime is 257775510757. The reversal of 257775510745 is 547015577752.

It can be written as a sum of positive squares in 4 ways, for example, as 19722270096 + 238053240649 = 140436^2 + 487907^2 .

It is not a de Polignac number, because 257775510745 - 2⁹ = 257775510233 is a prime.

It is a super-2 number, since 2×257775510745² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482445 + ... + 865045.

It is an arithmetic number, because the mean of its divisors is an integer number (13384757067).

Almost surely, 2^257775510745 is an apocalyptic number.

It is an amenable number.

257775510745 is a deficient number, since it is larger than the sum of its proper divisors (63458658863).

257775510745 is an equidigital number, since it uses as much as digits as its factorization.

257775510745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382761 (or 382714 counting only the distinct ones).

The product of its (nonzero) digits is 12005000, while the sum is 55.

The spelling of 257775510745 in words is "two hundred fifty-seven billion, seven hundred seventy-five million, five hundred ten thousand, seven hundred forty-five".