52027224740100 has 81 divisors (see below), whose sum is σ = 163077123810783. Its totient is φ = 13873868893440.

The previous prime is 52027224740077. The next prime is 52027224740107. The reversal of 52027224740100 is 104742272025.

The square root of 52027224740100 is 7212990.

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

52027224740100 is a `hidden beast` number, since 5 + 2 + 0 + 2 + 7 + 2 + 247 + 401 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8536576314564 + 43490648425536 = 2921742^2 + 6594744^2 .

It is a super-2 number, since 2×52027224740100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52027224740107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 216269484 + ... + 216509916.

Almost surely, 2^{52027224740100} is an apocalyptic number.

52027224740100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52027224740100 is the 7212990-th square number.

It is an amenable number.

52027224740100 is an abundant number, since it is smaller than the sum of its proper divisors (111049899070683).

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

52027224740100 is an frugal number, since it uses more digits than its factorization.

52027224740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480886 (or 240443 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

52027224740100 divided by its sum of digits (36) gives a square (1445200687225 = 1202165²).

The spelling of 52027224740100 in words is "fifty-two trillion, twenty-seven billion, two hundred twenty-four million, seven hundred forty thousand, one hundred".