5677811825601 has 32 divisors (see below), whose sum is σ = 7758174453120. Its totient is φ = 3692428450304.

The previous prime is 5677811825591. The next prime is 5677811825639. The reversal of 5677811825601 is 1065281187765.

5677811825601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5677811825601 - 2¹³ = 5677811817409 is a prime.

It is a super-2 number, since 2×5677811825601² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5677811825201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11848675 + ... + 12318551.

It is an arithmetic number, because the mean of its divisors is an integer number (242442951660).

Almost surely, 2^{5677811825601} is an apocalyptic number.

It is an amenable number.

5677811825601 is a deficient number, since it is larger than the sum of its proper divisors (2080362627519).

5677811825601 is a wasteful number, since it uses less digits than its factorization.

5677811825601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470465.

The product of its (nonzero) digits is 5644800, while the sum is 57.

The spelling of 5677811825601 in words is "five trillion, six hundred seventy-seven billion, eight hundred eleven million, eight hundred twenty-five thousand, six hundred one".