257433449641 has 9 divisors (see below), whose sum is σ = 260615059159. Its totient is φ = 254290236736.

The previous prime is 257433449639. The next prime is 257433449659. The reversal of 257433449641 is 146944334752.

The square root of 257433449641 is 507379.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 142306245225 + 115127204416 = 377235^2 + 339304^2 .

It is not a de Polignac number, because 257433449641 - 2¹ = 257433449639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257433449681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42109401 + ... + 42115513.

Almost surely, 2^257433449641 is an apocalyptic number.

257433449641 is the 507379-th square number.

257433449641 is the 253690-th centered octagonal number.

It is an amenable number.

257433449641 is a deficient number, since it is larger than the sum of its proper divisors (3181609518).

257433449641 is an frugal number, since it uses more digits than its factorization.

257433449641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12392 (or 6196 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 52.

The spelling of 257433449641 in words is "two hundred fifty-seven billion, four hundred thirty-three million, four hundred forty-nine thousand, six hundred forty-one".