51513525101 has 2 divisors, whose sum is σ = 51513525102. Its totient is φ = 51513525100.

The previous prime is 51513525073. The next prime is 51513525131. The reversal of 51513525101 is 10152531515.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35815941001 + 15697584100 = 189251^2 + 125290^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51513525101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51513525131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25756762550 + 25756762551.

It is an arithmetic number, because the mean of its divisors is an integer number (25756762551).

Almost surely, 2^51513525101 is an apocalyptic number.

It is an amenable number.

51513525101 is a deficient number, since it is larger than the sum of its proper divisors (1).

51513525101 is an equidigital number, since it uses as much as digits as its factorization.

51513525101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 51513525101 in words is "fifty-one billion, five hundred thirteen million, five hundred twenty-five thousand, one hundred one".