1257549174025 has 81 divisors (see below), whose sum is σ = 1687823742549. Its totient is φ = 929276924160.

The previous prime is 1257549174023. The next prime is 1257549174029. The reversal of 1257549174025 is 5204719457521.

The square root of 1257549174025 is 1121405.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29415337081 + 1228133836944 = 171509^2 + 1108212^2 .

It is not a de Polignac number, because 1257549174025 - 2¹ = 1257549174023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1257549174023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7530234492 + ... + 7530234658.

Almost surely, 2^{1257549174025} is an apocalyptic number.

1257549174025 is the 1121405-th square number.

1257549174025 is the 560703-rd centered octagonal number.

It is an amenable number.

1257549174025 is a deficient number, since it is larger than the sum of its proper divisors (430274568524).

1257549174025 is an frugal number, since it uses more digits than its factorization.

1257549174025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 52.

The spelling of 1257549174025 in words is "one trillion, two hundred fifty-seven billion, five hundred forty-nine million, one hundred seventy-four thousand, twenty-five".