257893350422851 has 128 divisors (see below), whose sum is σ = 318282118447104. Its totient is φ = 205752960000000.

The previous prime is 257893350422803. The next prime is 257893350422921. The reversal of 257893350422851 is 158224053398752.

It is a cyclic number.

It is not a de Polignac number, because 257893350422851 - 2⁷ = 257893350422723 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257893350429851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143194530151 + ... + 143194531951.

It is an arithmetic number, because the mean of its divisors is an integer number (2486579050368).

Almost surely, 2^{257893350422851} is an apocalyptic number.

257893350422851 is a deficient number, since it is larger than the sum of its proper divisors (60388768024253).

257893350422851 is a wasteful number, since it uses less digits than its factorization.

257893350422851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285.

The product of its (nonzero) digits is 145152000, while the sum is 64.

The spelling of 257893350422851 in words is "two hundred fifty-seven trillion, eight hundred ninety-three billion, three hundred fifty million, four hundred twenty-two thousand, eight hundred fifty-one".