7521257 has 2 divisors, whose sum is σ = 7521258. Its totient is φ = 7521256.

The previous prime is 7521247. The next prime is 7521271.

7521257 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6635776 + 885481 = 2576^2 + 941^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 7521257 - 2¹² = 7517161 is a prime.

It is a d-powerful number, because it can be written as 7 + 5⁶ + 2²¹ + 1 + 2²² + 5⁸ + 7⁷ .

It is equal to p₅₀₉₅₉₁ and since 7521257 and 509591 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (7521247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3760628 + 3760629.

It is an arithmetic number, because the mean of its divisors is an integer number (3760629).

Almost surely, 2^7521257 is an apocalyptic number.

It is an amenable number.

7521257 is a deficient number, since it is larger than the sum of its proper divisors (1).

7521257 is an equidigital number, since it uses as much as digits as its factorization.

7521257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4900, while the sum is 29.

The square root of 7521257 is about 2742.4910209516. The cubic root of 7521257 is about 195.9281372674.

The spelling of 7521257 in words is "seven million, five hundred twenty-one thousand, two hundred fifty-seven".