13195075007509 has 2 divisors, whose sum is σ = 13195075007510. Its totient is φ = 13195075007508.

The previous prime is 13195075007507. The next prime is 13195075007581. The reversal of 13195075007509 is 90570057059131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10348464911409 + 2846610096100 = 3216903^2 + 1687190^2 .

It is a cyclic number.

It is not a de Polignac number, because 13195075007509 - 2¹ = 13195075007507 is a prime.

It is a super-2 number, since 2×13195075007509² (a number of 27 digits) contains 22 as substring.

Together with 13195075007507, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13195075007503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6597537503754 + 6597537503755.

It is an arithmetic number, because the mean of its divisors is an integer number (6597537503755).

Almost surely, 2^{13195075007509} is an apocalyptic number.

It is an amenable number.

13195075007509 is a deficient number, since it is larger than the sum of its proper divisors (1).

13195075007509 is an equidigital number, since it uses as much as digits as its factorization.

13195075007509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1488375, while the sum is 52.

The spelling of 13195075007509 in words is "thirteen trillion, one hundred ninety-five billion, seventy-five million, seven thousand, five hundred nine".