72541070401013 has 2 divisors, whose sum is σ = 72541070401014. Its totient is φ = 72541070401012.

The previous prime is 72541070400991. The next prime is 72541070401021. The reversal of 72541070401013 is 31010407014527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70750018157809 + 1791052243204 = 8411303^2 + 1338302^2 .

It is a cyclic number.

It is not a de Polignac number, because 72541070401013 - 2⁶ = 72541070400949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72541070401213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36270535200506 + 36270535200507.

It is an arithmetic number, because the mean of its divisors is an integer number (36270535200507).

Almost surely, 2^{72541070401013} is an apocalyptic number.

It is an amenable number.

72541070401013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72541070401013 is an equidigital number, since it uses as much as digits as its factorization.

72541070401013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 72541070401013 in words is "seventy-two trillion, five hundred forty-one billion, seventy million, four hundred one thousand, thirteen".