257411125449 has 189 divisors, whose sum is σ = 435934140957. Its totient is φ = 151890509232.

The previous prime is 257411125441. The next prime is 257411125481. The reversal of 257411125449 is 944521114752.

It is a happy number.

The square root of 257411125449 is 507357.

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

257411125449 is a `hidden beast` number, since 2 + 5 + 74 + 11 + 125 + 449 = 666.

It is not a de Polignac number, because 257411125449 - 2³ = 257411125441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257411125441) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5986305222 + ... + 5986305264.

Almost surely, 2^257411125449 is an apocalyptic number.

257411125449 is the 507357-th square number.

257411125449 is the 253679-th centered octagonal number.

It is an amenable number.

257411125449 is a deficient number, since it is larger than the sum of its proper divisors (178523015508).

257411125449 is an frugal number, since it uses more digits than its factorization.

257411125449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 88 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 257411125449 in words is "two hundred fifty-seven billion, four hundred eleven million, one hundred twenty-five thousand, four hundred forty-nine".