51164025452101 has 2 divisors, whose sum is σ = 51164025452102. Its totient is φ = 51164025452100.

The previous prime is 51164025452003. The next prime is 51164025452147. The reversal of 51164025452101 is 10125452046115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29054525550625 + 22109499901476 = 5390225^2 + 4702074^2 .

It is a cyclic number.

It is not a de Polignac number, because 51164025452101 - 2⁹ = 51164025451589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51164025452201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25582012726050 + 25582012726051.

It is an arithmetic number, because the mean of its divisors is an integer number (25582012726051).

Almost surely, 2^{51164025452101} is an apocalyptic number.

It is an amenable number.

51164025452101 is a deficient number, since it is larger than the sum of its proper divisors (1).

51164025452101 is an equidigital number, since it uses as much as digits as its factorization.

51164025452101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48000, while the sum is 37.

Adding to 51164025452101 its reverse (10125452046115), we get a palindrome (61289477498216).

It can be divided in two parts, 5116402 and 5452101, that added together give a triangular number (10568503 = T₄₅₉₇).

The spelling of 51164025452101 in words is "fifty-one trillion, one hundred sixty-four billion, twenty-five million, four hundred fifty-two thousand, one hundred one".