51105610249 has 2 divisors, whose sum is σ = 51105610250. Its totient is φ = 51105610248.

The previous prime is 51105610247. The next prime is 51105610271. The reversal of 51105610249 is 94201650115.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51024033225 + 81577024 = 225885^2 + 9032^2 .

It is a cyclic number.

It is not a de Polignac number, because 51105610249 - 2¹ = 51105610247 is a prime.

It is a super-2 number, since 2×51105610249² (a number of 22 digits) contains 22 as substring.

Together with 51105610247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (51105610243) 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 as a sum of consecutive naturals, namely, 25552805124 + 25552805125.

It is an arithmetic number, because the mean of its divisors is an integer number (25552805125).

Almost surely, 2^51105610249 is an apocalyptic number.

It is an amenable number.

51105610249 is a deficient number, since it is larger than the sum of its proper divisors (1).

51105610249 is an equidigital number, since it uses as much as digits as its factorization.

51105610249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 51105610249 in words is "fifty-one billion, one hundred five million, six hundred ten thousand, two hundred forty-nine".