7537561 has 2 divisors, whose sum is σ = 7537562. Its totient is φ = 7537560.

The previous prime is 7537559. The next prime is 7537571. The reversal of 7537561 is 1657357.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6051600 + 1485961 = 2460^2 + 1219^2 .

It is a cyclic number.

It is not a de Polignac number, because 7537561 - 2¹ = 7537559 is a prime.

Together with 7537559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (7537571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3768780 + 3768781.

It is an arithmetic number, because the mean of its divisors is an integer number (3768781).

Almost surely, 2^7537561 is an apocalyptic number.

It is an amenable number.

7537561 is a deficient number, since it is larger than the sum of its proper divisors (1).

7537561 is an equidigital number, since it uses as much as digits as its factorization.

7537561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22050, while the sum is 34.

The square root of 7537561 is about 2745.4618919227. The cubic root of 7537561 is about 196.0696077213.

It can be divided in two parts, 75 and 37561, that added together give a square (37636 = 194²).

The spelling of 7537561 in words is "seven million, five hundred thirty-seven thousand, five hundred sixty-one".