7525135524001 has 2 divisors, whose sum is σ = 7525135524002. Its totient is φ = 7525135524000.

The previous prime is 7525135523963. The next prime is 7525135524097. The reversal of 7525135524001 is 1004255315257.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7456531342225 + 68604181776 = 2730665^2 + 261924^2 .

It is an emirp because it is prime and its reverse (1004255315257) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7525135524001 is a prime.

It is not a weakly prime, because it can be changed into another prime (7525135504001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3762567762000 + 3762567762001.

It is an arithmetic number, because the mean of its divisors is an integer number (3762567762001).

Almost surely, 2^{7525135524001} is an apocalyptic number.

It is an amenable number.

7525135524001 is a deficient number, since it is larger than the sum of its proper divisors (1).

7525135524001 is an equidigital number, since it uses as much as digits as its factorization.

7525135524001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210000, while the sum is 40.

The spelling of 7525135524001 in words is "seven trillion, five hundred twenty-five billion, one hundred thirty-five million, five hundred twenty-four thousand, one".