90524513 has 2 divisors, whose sum is σ = 90524514. Its totient is φ = 90524512.

The previous prime is 90524479. The next prime is 90524543. The reversal of 90524513 is 31542509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89548369 + 976144 = 9463^2 + 988^2 .

It is an emirp because it is prime and its reverse (31542509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90524513 - 2¹⁴ = 90508129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_5245760 and since 90524513 and 5245760 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (90524543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45262256 + 45262257.

It is an arithmetic number, because the mean of its divisors is an integer number (45262257).

Almost surely, 2^90524513 is an apocalyptic number.

It is an amenable number.

90524513 is a deficient number, since it is larger than the sum of its proper divisors (1).

90524513 is an equidigital number, since it uses as much as digits as its factorization.

90524513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 90524513 is about 9514.4370826655. The cubic root of 90524513 is about 449.0093648376.

The spelling of 90524513 in words is "ninety million, five hundred twenty-four thousand, five hundred thirteen".