72052525813 has 2 divisors, whose sum is σ = 72052525814. Its totient is φ = 72052525812.

The previous prime is 72052525801. The next prime is 72052525829. The reversal of 72052525813 is 31852525027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71138491524 + 914034289 = 266718^2 + 30233^2 .

It is an emirp because it is prime and its reverse (31852525027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72052525813 - 2²⁹ = 71515654901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72052525873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36026262906 + 36026262907.

It is an arithmetic number, because the mean of its divisors is an integer number (36026262907).

Almost surely, 2^72052525813 is an apocalyptic number.

It is an amenable number.

72052525813 is a deficient number, since it is larger than the sum of its proper divisors (1).

72052525813 is an equidigital number, since it uses as much as digits as its factorization.

72052525813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 72052525813 in words is "seventy-two billion, fifty-two million, five hundred twenty-five thousand, eight hundred thirteen".