7521505361 has 2 divisors, whose sum is σ = 7521505362. Its totient is φ = 7521505360.

The previous prime is 7521505351. The next prime is 7521505367. The reversal of 7521505361 is 1635051257.

7521505361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6487497025 + 1034008336 = 80545^2 + 32156^2 .

It is a cyclic number.

It is not a de Polignac number, because 7521505361 - 2⁶ = 7521505297 is a prime.

It is a super-3 number, since 3×7521505361³ (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (7521505367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3760752680 + 3760752681.

It is an arithmetic number, because the mean of its divisors is an integer number (3760752681).

Almost surely, 2^7521505361 is an apocalyptic number.

It is an amenable number.

7521505361 is a deficient number, since it is larger than the sum of its proper divisors (1).

7521505361 is an equidigital number, since it uses as much as digits as its factorization.

7521505361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 7521505361 is about 86726.6127610205. The cubic root of 7521505361 is about 1959.3029383830.

The spelling of 7521505361 in words is "seven billion, five hundred twenty-one million, five hundred five thousand, three hundred sixty-one".