5605526010100 has 36 divisors (see below), whose sum is σ = 12393500726124. Its totient is φ = 2199904545280.

The previous prime is 5605526010053. The next prime is 5605526010101. The reversal of 5605526010100 is 10106255065.

It can be written as a sum of positive squares in 6 ways, for example, as 694852282084 + 4910673728016 = 833578^2 + 2216004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605526010101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528817909 + ... + 528828508.

It is an arithmetic number, because the mean of its divisors is an integer number (344263909059).

Almost surely, 2^{5605526010100} is an apocalyptic number.

5605526010100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5605526010100 is an abundant number, since it is smaller than the sum of its proper divisors (6787974716024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5605526010100 is a wasteful number, since it uses less digits than its factorization.

5605526010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057646484 (or 1057646477 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 5605526010100 in words is "five trillion, six hundred five billion, five hundred twenty-six million, ten thousand, one hundred".