975506080601 has 16 divisors (see below), whose sum is σ = 1059272378640. Its totient is φ = 898327422720.

The previous prime is 975506080579. The next prime is 975506080609. The reversal of 975506080601 is 106080605579.

It can be written as a sum of positive squares in 8 ways, for example, as 897801730576 + 77704350025 = 947524^2 + 278755^2 .

It is not a de Polignac number, because 975506080601 - 2¹⁴ = 975506064217 is a prime.

It is a super-2 number, since 2×975506080601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (975506080609) 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 in 15 ways as a sum of consecutive naturals, for example, 397601 + ... + 1452273.

It is an arithmetic number, because the mean of its divisors is an integer number (66204523665).

Almost surely, 2^975506080601 is an apocalyptic number.

It is an amenable number.

975506080601 is a deficient number, since it is larger than the sum of its proper divisors (83766298039).

975506080601 is a wasteful number, since it uses less digits than its factorization.

975506080601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055133 (or 1055107 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 975506080601 in words is "nine hundred seventy-five billion, five hundred six million, eighty thousand, six hundred one".