51671976710401 has 2 divisors, whose sum is σ = 51671976710402. Its totient is φ = 51671976710400.

The previous prime is 51671976710371. The next prime is 51671976710443. The reversal of 51671976710401 is 10401767917615.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51515357856400 + 156618854001 = 7177420^2 + 395751^2 .

It is a cyclic number.

It is not a de Polignac number, because 51671976710401 - 2²⁹ = 51671439839489 is a prime.

It is not a weakly prime, because it can be changed into another prime (51671976710201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25835988355200 + 25835988355201.

It is an arithmetic number, because the mean of its divisors is an integer number (25835988355201).

Almost surely, 2^{51671976710401} is an apocalyptic number.

It is an amenable number.

51671976710401 is a deficient number, since it is larger than the sum of its proper divisors (1).

51671976710401 is an equidigital number, since it uses as much as digits as its factorization.

51671976710401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2222640, while the sum is 55.

The spelling of 51671976710401 in words is "fifty-one trillion, six hundred seventy-one billion, nine hundred seventy-six million, seven hundred ten thousand, four hundred one".