75007582513 has 2 divisors, whose sum is σ = 75007582514. Its totient is φ = 75007582512.

The previous prime is 75007582501. The next prime is 75007582523. The reversal of 75007582513 is 31528570057.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57776294689 + 17231287824 = 240367^2 + 131268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75007582513 is a prime.

It is a super-2 number, since 2×75007582513² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75007582513.

It is not a weakly prime, because it can be changed into another prime (75007582523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37503791256 + 37503791257.

It is an arithmetic number, because the mean of its divisors is an integer number (37503791257).

Almost surely, 2^75007582513 is an apocalyptic number.

It is an amenable number.

75007582513 is a deficient number, since it is larger than the sum of its proper divisors (1).

75007582513 is an equidigital number, since it uses as much as digits as its factorization.

75007582513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294000, while the sum is 43.

The spelling of 75007582513 in words is "seventy-five billion, seven million, five hundred eighty-two thousand, five hundred thirteen".