130562137051641 has 9 divisors (see below), whose sum is σ = 188589803033359. Its totient is φ = 87041401848336.

The previous prime is 130562137051603. The next prime is 130562137051721. The reversal of 130562137051641 is 146150731265031.

The square root of 130562137051641 is 11426379.

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

130562137051641 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 6 + 21 + 3 + 70 + 516 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61484495852025 + 69077641199616 = 7841205^2 + 8311296^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 130562137051641 - 2¹¹ = 130562137049593 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130562137051441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32374741 + ... + 36183533.

Almost surely, 2^{130562137051641} is an apocalyptic number.

130562137051641 is the 11426379-th square number.

130562137051641 is the 5713190-th centered octagonal number.

It is an amenable number.

130562137051641 is a deficient number, since it is larger than the sum of its proper divisors (58027665981718).

130562137051641 is an frugal number, since it uses more digits than its factorization.

130562137051641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617592 (or 3808796 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 130562137051641 in words is "one hundred thirty trillion, five hundred sixty-two billion, one hundred thirty-seven million, fifty-one thousand, six hundred forty-one".