257775416561 has 32 divisors (see below), whose sum is σ = 294936622848. Its totient is φ = 223479210240.

The previous prime is 257775416449. The next prime is 257775416567. The reversal of 257775416561 is 165614577752.

It is not a de Polignac number, because 257775416561 - 2¹⁴ = 257775400177 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257775416497 and 257775416506.

It is not an unprimeable number, because it can be changed into a prime (257775416567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10694255 + ... + 10718331.

It is an arithmetic number, because the mean of its divisors is an integer number (9216769464).

Almost surely, 2^257775416561 is an apocalyptic number.

It is an amenable number.

257775416561 is a deficient number, since it is larger than the sum of its proper divisors (37161206287).

257775416561 is a wasteful number, since it uses less digits than its factorization.

257775416561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24761.

The product of its digits is 12348000, while the sum is 56.

The spelling of 257775416561 in words is "two hundred fifty-seven billion, seven hundred seventy-five million, four hundred sixteen thousand, five hundred sixty-one".