51224816241 has 27 divisors (see below), whose sum is σ = 76082530251. Its totient is φ = 33210612144.

The previous prime is 51224816219. The next prime is 51224816257. The reversal of 51224816241 is 14261842215.

The square root of 51224816241 is 226329.

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

51224816241 is a `hidden beast` number, since 5 + 1 + 2 + 24 + 8 + 1 + 624 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45836669025 + 5388147216 = 214095^2 + 73404^2 .

It is a de Polignac number, because none of the positive numbers 2^k-51224816241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51224816196 and 51224816205.

It is not an unprimeable number, because it can be changed into a prime (51224811241) 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, 25121500 + ... + 25123538.

Almost surely, 2^51224816241 is an apocalyptic number.

51224816241 is the 226329-th square number.

51224816241 is the 113165-th centered octagonal number.

It is an amenable number.

51224816241 is a deficient number, since it is larger than the sum of its proper divisors (24857714010).

51224816241 is an frugal number, since it uses more digits than its factorization.

51224816241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 2079 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

Multiplying 51224816241 by its sum of digits (36), we get a square (1844093384676 = 1357974²).

The spelling of 51224816241 in words is "fifty-one billion, two hundred twenty-four million, eight hundred sixteen thousand, two hundred forty-one".