257150475823169 has 2 divisors, whose sum is σ = 257150475823170. Its totient is φ = 257150475823168.

The previous prime is 257150475823061. The next prime is 257150475823211. The reversal of 257150475823169 is 961328574051752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256731882351025 + 418593472144 = 16022855^2 + 646988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257150475823169 is a prime.

It is a super-2 number, since 2×257150475823169² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257150475823469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128575237911584 + 128575237911585.

It is an arithmetic number, because the mean of its divisors is an integer number (128575237911585).

It is a 1-persistent number, because it is pandigital, but 2⋅257150475823169 = 514300951646338 is not.

Almost surely, 2^{257150475823169} is an apocalyptic number.

It is an amenable number.

257150475823169 is a deficient number, since it is larger than the sum of its proper divisors (1).

257150475823169 is an equidigital number, since it uses as much as digits as its factorization.

257150475823169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 127008000, while the sum is 65.

The spelling of 257150475823169 in words is "two hundred fifty-seven trillion, one hundred fifty billion, four hundred seventy-five million, eight hundred twenty-three thousand, one hundred sixty-nine".