7523000257 has 2 divisors, whose sum is σ = 7523000258. Its totient is φ = 7523000256.

The previous prime is 7523000207. The next prime is 7523000263. The reversal of 7523000257 is 7520003257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5711731776 + 1811268481 = 75576^2 + 42559^2 .

It is a cyclic number.

It is not a de Polignac number, because 7523000257 - 2⁷ = 7523000129 is a prime.

It is not a weakly prime, because it can be changed into another prime (7523000207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3761500128 + 3761500129.

It is an arithmetic number, because the mean of its divisors is an integer number (3761500129).

Almost surely, 2^7523000257 is an apocalyptic number.

It is an amenable number.

7523000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

7523000257 is an equidigital number, since it uses as much as digits as its factorization.

7523000257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14700, while the sum is 31.

The square root of 7523000257 is about 86735.2307715844. The cubic root of 7523000257 is about 1959.4327333271.

It can be divided in two parts, 7523000 and 257, that added together give a palindrome (7523257).

The spelling of 7523000257 in words is "seven billion, five hundred twenty-three million, two hundred fifty-seven", and thus it is an aban number.