972506146081 has 2 divisors, whose sum is σ = 972506146082. Its totient is φ = 972506146080.

The previous prime is 972506146037. The next prime is 972506146159. The reversal of 972506146081 is 180641605279.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 750744267025 + 221761879056 = 866455^2 + 470916^2 .

It is a cyclic number.

It is not a de Polignac number, because 972506146081 - 2¹¹ = 972506144033 is a prime.

It is a super-2 number, since 2×972506146081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (972506146681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486253073040 + 486253073041.

It is an arithmetic number, because the mean of its divisors is an integer number (486253073041).

Almost surely, 2^972506146081 is an apocalyptic number.

It is an amenable number.

972506146081 is a deficient number, since it is larger than the sum of its proper divisors (1).

972506146081 is an equidigital number, since it uses as much as digits as its factorization.

972506146081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 972506146081 in words is "nine hundred seventy-two billion, five hundred six million, one hundred forty-six thousand, eighty-one".