64516129 has 2 divisors, whose sum is σ = 64516130. Its totient is φ = 64516128.

The previous prime is 64516103. The next prime is 64516141. The reversal of 64516129 is 92161546.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63632529 + 883600 = 7977^2 + 940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-64516129 is a prime.

It is a super-2 number, since 2×64516129² = 8324661802289282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64516094 and 64516103.

It is not a weakly prime, because it can be changed into another prime (64516169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32258064 + 32258065.

It is an arithmetic number, because the mean of its divisors is an integer number (32258065).

Almost surely, 2^64516129 is an apocalyptic number.

It is an amenable number.

64516129 is a deficient number, since it is larger than the sum of its proper divisors (1).

64516129 is an equidigital number, since it uses as much as digits as its factorization.

64516129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 34.

The square root of 64516129 is about 8032.1932870169. The cubic root of 64516129 is about 401.0723911239.

Adding to 64516129 its product of digits (12960), we get a square (64529089 = 8033²).

The spelling of 64516129 in words is "sixty-four million, five hundred sixteen thousand, one hundred twenty-nine".