51200961 has 16 divisors (see below), whose sum is σ = 78127104. Its totient is φ = 29217744.

The previous prime is 51200911. The next prime is 51200969. The reversal of 51200961 is 16900215.

It is not a de Polignac number, because 51200961 - 2¹¹ = 51198913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51200969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21706 + ... + 23948.

It is an arithmetic number, because the mean of its divisors is an integer number (4882944).

Almost surely, 2^51200961 is an apocalyptic number.

It is an amenable number.

51200961 is a deficient number, since it is larger than the sum of its proper divisors (26926143).

51200961 is a wasteful number, since it uses less digits than its factorization.

51200961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 51200961 is about 7155.4846796007. The cubic root of 51200961 is about 371.3294298864.

The spelling of 51200961 in words is "fifty-one million, two hundred thousand, nine hundred sixty-one".