257056098049 has 9 divisors (see below), whose sum is σ = 266240985283. Its totient is φ = 248177898472.

The previous prime is 257056098041. The next prime is 257056098053. The reversal of 257056098049 is 940890650752.

The square root of 257056098049 is 507007.

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., 134793982449 + 122262115600 = 367143^2 + 349660^2 .

It is not a de Polignac number, because 257056098049 - 2³ = 257056098041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257056098041) 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, 14694462 + ... + 14711944.

Almost surely, 2^257056098049 is an apocalyptic number.

257056098049 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

257056098049 is the 507007-th square number.

257056098049 is the 253504-th centered octagonal number.

It is an amenable number.

257056098049 is a deficient number, since it is larger than the sum of its proper divisors (9184887234).

257056098049 is an frugal number, since it uses more digits than its factorization.

257056098049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35024 (or 17512 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 257056098049 in words is "two hundred fifty-seven billion, fifty-six million, ninety-eight thousand, forty-nine".