7292718259201 has 2 divisors, whose sum is σ = 7292718259202. Its totient is φ = 7292718259200.

The previous prime is 7292718259087. The next prime is 7292718259237. The reversal of 7292718259201 is 1029528172927.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7286193497025 + 6524762176 = 2699295^2 + 80776^2 .

It is a cyclic number.

It is not a de Polignac number, because 7292718259201 - 2¹⁵ = 7292718226433 is a prime.

It is not a weakly prime, because it can be changed into another prime (7292718209201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3646359129600 + 3646359129601.

It is an arithmetic number, because the mean of its divisors is an integer number (3646359129601).

Almost surely, 2^{7292718259201} is an apocalyptic number.

It is an amenable number.

7292718259201 is a deficient number, since it is larger than the sum of its proper divisors (1).

7292718259201 is an equidigital number, since it uses as much as digits as its factorization.

7292718259201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 7292718259201 in words is "seven trillion, two hundred ninety-two billion, seven hundred eighteen million, two hundred fifty-nine thousand, two hundred one".