257164374352 has 40 divisors (see below), whose sum is σ = 511834596392. Its totient is φ = 125079552000.

The previous prime is 257164374343. The next prime is 257164374361. The reversal of 257164374352 is 253473461752.

It is an interprime number because it is at equal distance from previous prime (257164374343) and next prime (257164374361).

It can be written as a sum of positive squares in 4 ways, for example, as 40943094336 + 216221280016 = 202344^2 + 464996^2 .

It is a super-2 number, since 2×257164374352² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257164374296 and 257164374305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2796952 + ... + 2887432.

Almost surely, 2^257164374352 is an apocalyptic number.

It is an amenable number.

257164374352 is a deficient number, since it is larger than the sum of its proper divisors (254670222040).

257164374352 is a wasteful number, since it uses less digits than its factorization.

257164374352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95327 (or 95321 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 49.

The spelling of 257164374352 in words is "two hundred fifty-seven billion, one hundred sixty-four million, three hundred seventy-four thousand, three hundred fifty-two".