7257510688321 has 2 divisors, whose sum is σ = 7257510688322. Its totient is φ = 7257510688320.

The previous prime is 7257510688201. The next prime is 7257510688387. The reversal of 7257510688321 is 1238860157527.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7251494979600 + 6015708721 = 2692860^2 + 77561^2 .

It is a cyclic number.

It is not a de Polignac number, because 7257510688321 - 2¹³ = 7257510680129 is a prime.

It is a super-2 number, since 2×7257510688321² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7257510688391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3628755344160 + 3628755344161.

It is an arithmetic number, because the mean of its divisors is an integer number (3628755344161).

Almost surely, 2^{7257510688321} is an apocalyptic number.

It is an amenable number.

7257510688321 is a deficient number, since it is larger than the sum of its proper divisors (1).

7257510688321 is an equidigital number, since it uses as much as digits as its factorization.

7257510688321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 7257510688321 in words is "seven trillion, two hundred fifty-seven billion, five hundred ten million, six hundred eighty-eight thousand, three hundred twenty-one".