51827429562129 has 135 divisors (see below), whose sum is σ = 86213700328833. Its totient is φ = 31013147999808.

The previous prime is 51827429562127. The next prime is 51827429562149. The reversal of 51827429562129 is 92126592472815.

The square root of 51827429562129 is 7199127.

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

51827429562129 is a `hidden beast` number, since 5 + 1 + 8 + 2 + 7 + 42 + 9 + 562 + 1 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 215274656529 + 51612154905600 = 463977^2 + 7184160^2 .

It is not a de Polignac number, because 51827429562129 - 2¹ = 51827429562127 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51827429562127) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 31165019952 + ... + 31165021614.

Almost surely, 2^{51827429562129} is an apocalyptic number.

51827429562129 is the 7199127-th square number.

51827429562129 is the 3599564-th centered octagonal number.

It is an amenable number.

51827429562129 is a deficient number, since it is larger than the sum of its proper divisors (34386270766704).

51827429562129 is an frugal number, since it uses more digits than its factorization.

51827429562129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 1716 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 51827429562129 in words is "fifty-one trillion, eight hundred twenty-seven billion, four hundred twenty-nine million, five hundred sixty-two thousand, one hundred twenty-nine".