257305421410701 has 32 divisors (see below), whose sum is σ = 344317070008320. Its totient is φ = 170916502680000.

The previous prime is 257305421410673. The next prime is 257305421410757. The reversal of 257305421410701 is 107014124503752.

257305421410701 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257305421410701 - 2¹⁴ = 257305421394317 is a prime.

It is a super-2 number, since 2×257305421410701² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257305421410501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13999959330 + ... + 13999977708.

It is an arithmetic number, because the mean of its divisors is an integer number (10759908437760).

Almost surely, 2^{257305421410701} is an apocalyptic number.

It is an amenable number.

257305421410701 is a deficient number, since it is larger than the sum of its proper divisors (87011648597619).

257305421410701 is a wasteful number, since it uses less digits than its factorization.

257305421410701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33017.

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 257305421410701 in words is "two hundred fifty-seven trillion, three hundred five billion, four hundred twenty-one million, four hundred ten thousand, seven hundred one".