51132420225 has 72 divisors (see below), whose sum is σ = 97073521272. Its totient is φ = 25639372800.

The previous prime is 51132420221. The next prime is 51132420239. The reversal of 51132420225 is 52202423115.

51132420225 is a `hidden beast` number, since 5 + 1 + 13 + 2 + 420 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 626150529 + 50506269696 = 25023^2 + 224736^2 .

It is not a de Polignac number, because 51132420225 - 2² = 51132420221 is a prime.

It is a super-2 number, since 2×51132420225² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51132420221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3898779 + ... + 3911871.

It is an arithmetic number, because the mean of its divisors is an integer number (1348243351).

Almost surely, 2^51132420225 is an apocalyptic number.

It is an amenable number.

51132420225 is a deficient number, since it is larger than the sum of its proper divisors (45941101047).

51132420225 is a wasteful number, since it uses less digits than its factorization.

51132420225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14147 (or 14139 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 51132420225 in words is "fifty-one billion, one hundred thirty-two million, four hundred twenty thousand, two hundred twenty-five".