4958635206561 has 16 divisors (see below), whose sum is σ = 6765734644416. Its totient is φ = 3228656852736.

The previous prime is 4958635206557. The next prime is 4958635206601. The reversal of 4958635206561 is 1656025368594.

It is not a de Polignac number, because 4958635206561 - 2² = 4958635206557 is a prime.

It is a super-2 number, since 2×4958635206561² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4958635206495 and 4958635206504.

It is not an unprimeable number, because it can be changed into a prime (4958635201561) 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, 574221 + ... + 3201093.

It is an arithmetic number, because the mean of its divisors is an integer number (422858415276).

Almost surely, 2^{4958635206561} is an apocalyptic number.

It is an amenable number.

4958635206561 is a deficient number, since it is larger than the sum of its proper divisors (1807099437855).

4958635206561 is a wasteful number, since it uses less digits than its factorization.

4958635206561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641552.

The product of its (nonzero) digits is 46656000, while the sum is 60.

The spelling of 4958635206561 in words is "four trillion, nine hundred fifty-eight billion, six hundred thirty-five million, two hundred six thousand, five hundred sixty-one".