51585004501 has 2 divisors, whose sum is σ = 51585004502. Its totient is φ = 51585004500.

The previous prime is 51585004487. The next prime is 51585004553. The reversal of 51585004501 is 10540058515.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51551248401 + 33756100 = 227049^2 + 5810^2 .

It is a cyclic number.

It is not a de Polignac number, because 51585004501 - 2⁵ = 51585004469 is a prime.

It is a super-2 number, since 2×51585004501² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51585014501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25792502250 + 25792502251.

It is an arithmetic number, because the mean of its divisors is an integer number (25792502251).

Almost surely, 2^51585004501 is an apocalyptic number.

It is an amenable number.

51585004501 is a deficient number, since it is larger than the sum of its proper divisors (1).

51585004501 is an equidigital number, since it uses as much as digits as its factorization.

51585004501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20000, while the sum is 34.

The spelling of 51585004501 in words is "fifty-one billion, five hundred eighty-five million, four thousand, five hundred one".