257567064321 has 16 divisors (see below), whose sum is σ = 392981878784. Its totient is φ = 146994154704.

The previous prime is 257567064269. The next prime is 257567064323. The reversal of 257567064321 is 123460765752.

It is not a de Polignac number, because 257567064321 - 2¹³ = 257567056129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257567064323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7775785 + ... + 7808838.

It is an arithmetic number, because the mean of its divisors is an integer number (24561367424).

Almost surely, 2^257567064321 is an apocalyptic number.

257567064321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

257567064321 is a deficient number, since it is larger than the sum of its proper divisors (135414814463).

257567064321 is a wasteful number, since it uses less digits than its factorization.

257567064321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15585420.

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 257567064321 in words is "two hundred fifty-seven billion, five hundred sixty-seven million, sixty-four thousand, three hundred twenty-one".