257001261361 has 4 divisors (see below), whose sum is σ = 276770589172. Its totient is φ = 237231933552.

The previous prime is 257001261299. The next prime is 257001261371. The reversal of 257001261361 is 163162100752.

257001261361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 149522195761 + 107479065600 = 386681^2 + 327840^2 .

It is a cyclic number.

It is not a de Polignac number, because 257001261361 - 2¹³ = 257001253169 is a prime.

It is a super-2 number, since 2×257001261361² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257001261371) 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 3 ways as a sum of consecutive naturals, for example, 9884663886 + ... + 9884663911.

It is an arithmetic number, because the mean of its divisors is an integer number (69192647293).

Almost surely, 2^257001261361 is an apocalyptic number.

It is an amenable number.

257001261361 is a deficient number, since it is larger than the sum of its proper divisors (19769327811).

257001261361 is a wasteful number, since it uses less digits than its factorization.

257001261361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19769327810.

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 257001261361 in words is "two hundred fifty-seven billion, one million, two hundred sixty-one thousand, three hundred sixty-one".