69580415961 has 135 divisors (see below), whose sum is σ = 124815167631. Its totient is φ = 38516246496.

The previous prime is 69580415939. The next prime is 69580415963. The reversal of 69580415961 is 16951408596.

The square root of 69580415961 is 263781.

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

69580415961 is a `hidden beast` number, since 6 + 9 + 5 + 8 + 0 + 41 + 596 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50160321225 + 19420094736 = 223965^2 + 139356^2 .

It is not a de Polignac number, because 69580415961 - 2²¹ = 69578318809 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 69580415898 and 69580415907.

It is not an unprimeable number, because it can be changed into a prime (69580415963) 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 134 ways as a sum of consecutive naturals, for example, 880764720 + ... + 880764798.

Almost surely, 2^69580415961 is an apocalyptic number.

69580415961 is the 263781-st square number.

69580415961 is the 131891-st centered octagonal number.

It is an amenable number.

69580415961 is a deficient number, since it is larger than the sum of its proper divisors (55234751670).

69580415961 is an frugal number, since it uses more digits than its factorization.

69580415961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 69580415961 in words is "sixty-nine billion, five hundred eighty million, four hundred fifteen thousand, nine hundred sixty-one".