75580513 has 2 divisors, whose sum is σ = 75580514. Its totient is φ = 75580512.

The previous prime is 75580501. The next prime is 75580523. The reversal of 75580513 is 31508557.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57881664 + 17698849 = 7608^2 + 4207^2 .

It is an emirp because it is prime and its reverse (31508557) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75580513 - 2⁵ = 75580481 is a prime.

It is not a weakly prime, because it can be changed into another prime (75580523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37790256 + 37790257.

It is an arithmetic number, because the mean of its divisors is an integer number (37790257).

Almost surely, 2^75580513 is an apocalyptic number.

It is an amenable number.

75580513 is a deficient number, since it is larger than the sum of its proper divisors (1).

75580513 is an equidigital number, since it uses as much as digits as its factorization.

75580513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21000, while the sum is 34.

The square root of 75580513 is about 8693.7053665281. The cubic root of 75580513 is about 422.8015899261.

The spelling of 75580513 in words is "seventy-five million, five hundred eighty thousand, five hundred thirteen".