257514001 has 4 divisors (see below), whose sum is σ = 261735604. Its totient is φ = 253292400.

The previous prime is 257513983. The next prime is 257514013. The reversal of 257514001 is 100415752.

257514001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 234243025 = 4824^2 + 15305^2 .

It is a cyclic number.

It is not a de Polignac number, because 257514001 - 2¹⁹ = 256989713 is a prime.

It is a super-2 number, since 2×257514001² = 132626921422056002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257514091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2110710 + ... + 2110831.

It is an arithmetic number, because the mean of its divisors is an integer number (65433901).

Almost surely, 2^257514001 is an apocalyptic number.

It is an amenable number.

257514001 is a deficient number, since it is larger than the sum of its proper divisors (4221603).

257514001 is an equidigital number, since it uses as much as digits as its factorization.

257514001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221602.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 257514001 is about 16047.2427849771. The cubic root of 257514001 is about 636.2096939509.

Adding to 257514001 its reverse (100415752), we get a palindrome (357929753).

The spelling of 257514001 in words is "two hundred fifty-seven million, five hundred fourteen thousand, one".