257533920484 has 27 divisors (see below), whose sum is σ = 455965059081. Its totient is φ = 127275482400.

The previous prime is 257533920481. The next prime is 257533920491. The reversal of 257533920484 is 484029335752.

It is a happy number.

The square root of 257533920484 is 507478.

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., 49451974884 + 208081945600 = 222378^2 + 456160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257533920481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90329659 + ... + 90332509.

Almost surely, 2^257533920484 is an apocalyptic number.

257533920484 is the 507478-th square number.

It is an amenable number.

257533920484 is a deficient number, since it is larger than the sum of its proper divisors (198431138597).

257533920484 is an frugal number, since it uses more digits than its factorization.

257533920484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 257533920484 in words is "two hundred fifty-seven billion, five hundred thirty-three million, nine hundred twenty thousand, four hundred eighty-four".