257451715609 has 27 divisors (see below), whose sum is σ = 285653133759. Its totient is φ = 231860133120.

The previous prime is 257451715607. The next prime is 257451715637. The reversal of 257451715609 is 906517154752.

The square root of 257451715609 is 507397.

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., 62377560025 + 195074155584 = 249755^2 + 441672^2 .

It is not a de Polignac number, because 257451715609 - 2¹ = 257451715607 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257451715607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1077203712 + ... + 1077203950.

Almost surely, 2^257451715609 is an apocalyptic number.

257451715609 is the 507397-th square number.

257451715609 is the 253699-th centered octagonal number.

It is an amenable number.

257451715609 is a deficient number, since it is larger than the sum of its proper divisors (28201418150).

257451715609 is an frugal number, since it uses more digits than its factorization.

257451715609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 52.

The spelling of 257451715609 in words is "two hundred fifty-seven billion, four hundred fifty-one million, seven hundred fifteen thousand, six hundred nine".