65073407442481 has 9 divisors (see below), whose sum is σ = 65134716399649. Its totient is φ = 65012156161744.

The previous prime is 65073407442469. The next prime is 65073407442517. The reversal of 65073407442481 is 18424470437056.

It is a happy number.

The square root of 65073407442481 is 8066809.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2517962802481 + 62555444640000 = 1586809^2 + 7909200^2 .

It is not a de Polignac number, because 65073407442481 - 2¹³ = 65073407434289 is a prime.

It is a super-2 number, since 2×65073407442481² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65073407442181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10301311935 + ... + 10301318251.

Almost surely, 2^{65073407442481} is an apocalyptic number.

65073407442481 is the 8066809-th square number.

65073407442481 is the 4033405-th centered octagonal number.

It is an amenable number.

65073407442481 is a deficient number, since it is larger than the sum of its proper divisors (61308957168).

65073407442481 is an frugal number, since it uses more digits than its factorization.

65073407442481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15188 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 55.

The spelling of 65073407442481 in words is "sixty-five trillion, seventy-three billion, four hundred seven million, four hundred forty-two thousand, four hundred eighty-one".