257429390625 has 315 divisors, whose sum is σ = 541560235909. Its totient is φ = 121770000000.

The previous prime is 257429390611. The next prime is 257429390641. The reversal of 257429390625 is 526093924752.

The square root of 257429390625 is 507375.

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

257429390625 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 2 + 9 + 3 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 77555009169 + 179874381456 = 278487^2 + 424116^2 .

It is not a de Polignac number, because 257429390625 - 2¹⁹ = 257428866337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 6278765605 + ... + 6278765645.

Almost surely, 2^257429390625 is an apocalyptic number.

257429390625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257429390625 is the 507375-th square number.

257429390625 is the 253688-th centered octagonal number.

It is an amenable number.

257429390625 is an abundant number, since it is smaller than the sum of its proper divisors (284130845284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257429390625 is an frugal number, since it uses more digits than its factorization.

257429390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 257429390625 in words is "two hundred fifty-seven billion, four hundred twenty-nine million, three hundred ninety thousand, six hundred twenty-five".