51203090961 has 27 divisors (see below), whose sum is σ = 81306755803. Its totient is φ = 31027650720.

The previous prime is 51203090927. The next prime is 51203090977. The reversal of 51203090961 is 16909030215.

The square root of 51203090961 is 226281.

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

It can be written as a sum of positive squares in only one way, i.e., 372683025 + 50830407936 = 19305^2 + 225456^2 .

It is not a de Polignac number, because 51203090961 - 2³¹ = 49055607313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51203092961) 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 26 ways as a sum of consecutive naturals, for example, 7463845 + ... + 7470701.

Almost surely, 2^51203090961 is an apocalyptic number.

51203090961 is the 226281-st square number.

51203090961 is the 113141-st centered octagonal number.

It is an amenable number.

51203090961 is a deficient number, since it is larger than the sum of its proper divisors (30103664842).

51203090961 is an frugal number, since it uses more digits than its factorization.

51203090961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13742 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

Multiplying 51203090961 by its sum of digits (36), we get a square (1843311274596 = 1357686²).

The spelling of 51203090961 in words is "fifty-one billion, two hundred three million, ninety thousand, nine hundred sixty-one".