257077712 has 20 divisors (see below), whose sum is σ = 502499460. Its totient is φ = 127400448.

The previous prime is 257077669. The next prime is 257077741. The reversal of 257077712 is 217770752.

It is a happy number.

257077712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2483776 + 254593936 = 1576^2 + 15956^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69287 + ... + 72902.

It is an arithmetic number, because the mean of its divisors is an integer number (25124973).

Almost surely, 2^257077712 is an apocalyptic number.

It is an amenable number.

257077712 is a deficient number, since it is larger than the sum of its proper divisors (245421748).

257077712 is a wasteful number, since it uses less digits than its factorization.

257077712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142310 (or 142304 counting only the distinct ones).

The product of its (nonzero) digits is 48020, while the sum is 38.

The square root of 257077712 is about 16033.6431293702. The cubic root of 257077712 is about 635.8501947978.

The spelling of 257077712 in words is "two hundred fifty-seven million, seventy-seven thousand, seven hundred twelve".