257046972004 has 27 divisors (see below), whose sum is σ = 458575616793. Its totient is φ = 126072150672.

The previous prime is 257046971999. The next prime is 257046972029. The reversal of 257046972004 is 400279640752.

It is a happy number.

The square root of 257046972004 is 506998.

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

257046972004 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 only one way, i.e., 185304420900 + 71742551104 = 430470^2 + 267848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53739397 + ... + 53744179.

Almost surely, 2^257046972004 is an apocalyptic number.

257046972004 is the 506998-th square number.

It is an amenable number.

257046972004 is a deficient number, since it is larger than the sum of its proper divisors (201528644789).

257046972004 is an frugal number, since it uses more digits than its factorization.

257046972004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 257046972004 in words is "two hundred fifty-seven billion, forty-six million, nine hundred seventy-two thousand, four".