75000257 has 2 divisors, whose sum is σ = 75000258. Its totient is φ = 75000256.

The previous prime is 75000241. The next prime is 75000271. The reversal of 75000257 is 75200057.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45144961 + 29855296 = 6719^2 + 5464^2 .

It is a cyclic number.

It is not a de Polignac number, because 75000257 - 2⁴ = 75000241 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (75000227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37500128 + 37500129.

It is an arithmetic number, because the mean of its divisors is an integer number (37500129).

Almost surely, 2^75000257 is an apocalyptic number.

It is an amenable number.

75000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

75000257 is an equidigital number, since it uses as much as digits as its factorization.

75000257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2450, while the sum is 26.

The square root of 75000257 is about 8660.2688757336. The cubic root of 75000257 is about 421.7168143441.

It can be divided in two parts, 75000 and 257, that added together give a palindrome (75257).

The spelling of 75000257 in words is "seventy-five million, two hundred fifty-seven", and thus it is an aban number.