257104420594576 has 15 divisors (see below), whose sum is σ = 498139939169211. Its totient is φ = 128552178228336.

The previous prime is 257104420594531. The next prime is 257104420594601. The reversal of 257104420594576 is 675495024401752.

The square root of 257104420594576 is 16034476.

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

257104420594576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257104420594576² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 62133595 + ... + 66142213.

Almost surely, 2^{257104420594576} is an apocalyptic number.

257104420594576 is the 16034476-th square number.

It is an amenable number.

257104420594576 is a deficient number, since it is larger than the sum of its proper divisors (241035518574635).

257104420594576 is an frugal number, since it uses more digits than its factorization.

257104420594576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8017246 (or 4008621 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 61.

The spelling of 257104420594576 in words is "two hundred fifty-seven trillion, one hundred four billion, four hundred twenty million, five hundred ninety-four thousand, five hundred seventy-six".