73825810215217 has 16 divisors (see below), whose sum is σ = 75232301416272. Its totient is φ = 72435130306560.

The previous prime is 73825810215211. The next prime is 73825810215257. The reversal of 73825810215217 is 71251201852837.

It can be written as a sum of positive squares in 8 ways, for example, as 2296182579856 + 71529627635361 = 1515316^2 + 8457519^2 .

It is a cyclic number.

It is not a de Polignac number, because 73825810215217 - 2⁷ = 73825810215089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73825810215211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504758 + ... + 12244015.

It is an arithmetic number, because the mean of its divisors is an integer number (4702018838517).

Almost surely, 2^{73825810215217} is an apocalyptic number.

It is an amenable number.

73825810215217 is a deficient number, since it is larger than the sum of its proper divisors (1406491201055).

73825810215217 is a wasteful number, since it uses less digits than its factorization.

73825810215217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13749348.

The product of its (nonzero) digits is 1881600, while the sum is 52.

The spelling of 73825810215217 in words is "seventy-three trillion, eight hundred twenty-five billion, eight hundred ten million, two hundred fifteen thousand, two hundred seventeen".