50564268225 has 135 divisors (see below), whose sum is σ = 99228852723. Its totient is φ = 25451120160.

The previous prime is 50564268217. The next prime is 50564268229. The reversal of 50564268225 is 52286246505.

It is a happy number.

The square root of 50564268225 is 224865.

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

50564268225 is a `hidden beast` number, since 5 + 0 + 564 + 2 + 6 + 82 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18203136561 + 32361131664 = 134919^2 + 179892^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 50564268225 - 2³ = 50564268217 is a prime.

It is a super-2 number, since 2×50564268225² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (50564268229) 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, 192259444 + ... + 192259706.

Almost surely, 2^50564268225 is an apocalyptic number.

50564268225 is the 224865-th square number.

50564268225 is the 112433-rd centered octagonal number.

It is an amenable number.

50564268225 is a deficient number, since it is larger than the sum of its proper divisors (48664584498).

50564268225 is an equidigital number, since it uses as much as digits as its factorization.

50564268225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 50564268225 in words is "fifty billion, five hundred sixty-four million, two hundred sixty-eight thousand, two hundred twenty-five".