361301520661601 has 16 divisors (see below), whose sum is σ = 414605912558544. Its totient is φ = 311891608664064.

The previous prime is 361301520661597. The next prime is 361301520661621. The reversal of 361301520661601 is 106166025103163.

It can be written as a sum of positive squares in 8 ways, for example, as 7996905294400 + 353304615367201 = 2827880^2 + 18796399^2 .

It is not a de Polignac number, because 361301520661601 - 2² = 361301520661597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (361301520661621) 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, 5206489220 + ... + 5206558613.

It is an arithmetic number, because the mean of its divisors is an integer number (25912869534909).

Almost surely, 2^{361301520661601} is an apocalyptic number.

It is an amenable number.

361301520661601 is a deficient number, since it is larger than the sum of its proper divisors (53304391896943).

361301520661601 is a wasteful number, since it uses less digits than its factorization.

361301520661601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10413048020.

The product of its (nonzero) digits is 116640, while the sum is 41.

Adding to 361301520661601 its reverse (106166025103163), we get a palindrome (467467545764764).

The spelling of 361301520661601 in words is "three hundred sixty-one trillion, three hundred one billion, five hundred twenty million, six hundred sixty-one thousand, six hundred one".