257121752 has 8 divisors (see below), whose sum is σ = 482103300. Its totient is φ = 128560872.

The previous prime is 257121751. The next prime is 257121763.

257121752 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×257121752² = 132223190703099008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257121751) by changing a digit.

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 as a sum of consecutive naturals, namely, 16070102 + ... + 16070117.

Almost surely, 2^257121752 is an apocalyptic number.

It is an amenable number.

257121752 is a deficient number, since it is larger than the sum of its proper divisors (224981548).

257121752 is a wasteful number, since it uses less digits than its factorization.

257121752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32140225 (or 32140221 counting only the distinct ones).

The product of its digits is 9800, while the sum is 32.

The square root of 257121752 is about 16035.0164327948. The cubic root of 257121752 is about 635.8865019044.

The spelling of 257121752 in words is "two hundred fifty-seven million, one hundred twenty-one thousand, seven hundred fifty-two".