72425413013 has 2 divisors, whose sum is σ = 72425413014. Its totient is φ = 72425413012.

The previous prime is 72425412973. The next prime is 72425413037. The reversal of 72425413013 is 31031452427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41429345764 + 30996067249 = 203542^2 + 176057^2 .

It is a cyclic number.

It is not a de Polignac number, because 72425413013 - 2⁶ = 72425412949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72425412013) 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, 36212706506 + 36212706507.

It is an arithmetic number, because the mean of its divisors is an integer number (36212706507).

Almost surely, 2^72425413013 is an apocalyptic number.

It is an amenable number.

72425413013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72425413013 is an equidigital number, since it uses as much as digits as its factorization.

72425413013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 72425413013 in words is "seventy-two billion, four hundred twenty-five million, four hundred thirteen thousand, thirteen".