800129537 has 2 divisors, whose sum is σ = 800129538. Its totient is φ = 800129536.

The previous prime is 800129527. The next prime is 800129549. The reversal of 800129537 is 735921008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 418161601 + 381967936 = 20449^2 + 19544^2 .

It is a cyclic number.

It is not a de Polignac number, because 800129537 - 2¹² = 800125441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 800129497 and 800129506.

It is not a weakly prime, because it can be changed into another prime (800129527) 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, 400064768 + 400064769.

It is an arithmetic number, because the mean of its divisors is an integer number (400064769).

Almost surely, 2^800129537 is an apocalyptic number.

It is an amenable number.

800129537 is a deficient number, since it is larger than the sum of its proper divisors (1).

800129537 is an equidigital number, since it uses as much as digits as its factorization.

800129537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 800129537 is about 28286.5610670509. The cubic root of 800129537 is about 928.3678688095.

The spelling of 800129537 in words is "eight hundred million, one hundred twenty-nine thousand, five hundred thirty-seven".