7527517673513 has 2 divisors, whose sum is σ = 7527517673514. Its totient is φ = 7527517673512.

The previous prime is 7527517673443. The next prime is 7527517673531. The reversal of 7527517673513 is 3153767157257.

It is a happy number.

Together with next prime (7527517673531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6117722400409 + 1409795273104 = 2473403^2 + 1187348^2 .

It is a cyclic number.

It is not a de Polignac number, because 7527517673513 - 2²² = 7527513479209 is a prime.

It is a super-2 number, since 2×7527517673513² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7527517673213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3763758836756 + 3763758836757.

It is an arithmetic number, because the mean of its divisors is an integer number (3763758836757).

Almost surely, 2^{7527517673513} is an apocalyptic number.

It is an amenable number.

7527517673513 is a deficient number, since it is larger than the sum of its proper divisors (1).

7527517673513 is an equidigital number, since it uses as much as digits as its factorization.

7527517673513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32413500, while the sum is 59.

The spelling of 7527517673513 in words is "seven trillion, five hundred twenty-seven billion, five hundred seventeen million, six hundred seventy-three thousand, five hundred thirteen".