51175035961 has 27 divisors (see below), whose sum is σ = 63271186797. Its totient is φ = 41262345600.

The previous prime is 51175035937. The next prime is 51175035979. The reversal of 51175035961 is 16953057115.

The square root of 51175035961 is 226219.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1960275625 + 49214760336 = 44275^2 + 221844^2 .

It is not a de Polignac number, because 51175035961 - 2⁵ = 51175035929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51175035761) 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 26 ways as a sum of consecutive naturals, for example, 26919111 + ... + 26921011.

Almost surely, 2^51175035961 is an apocalyptic number.

51175035961 is the 226219-th square number.

51175035961 is the 113110-th centered octagonal number.

It is an amenable number.

51175035961 is a deficient number, since it is larger than the sum of its proper divisors (12096150836).

51175035961 is an frugal number, since it uses more digits than its factorization.

51175035961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 43.

The spelling of 51175035961 in words is "fifty-one billion, one hundred seventy-five million, thirty-five thousand, nine hundred sixty-one".