1028124761 has 2 divisors, whose sum is σ = 1028124762. Its totient is φ = 1028124760.

The previous prime is 1028124749. The next prime is 1028124781. The reversal of 1028124761 is 1674218201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 618467161 + 409657600 = 24869^2 + 20240^2 .

It is a cyclic number.

It is not a de Polignac number, because 1028124761 - 2¹⁰ = 1028123737 is a prime.

It is a super-3 number, since 3×1028124761³ (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1028124701) 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, 514062380 + 514062381.

It is an arithmetic number, because the mean of its divisors is an integer number (514062381).

Almost surely, 2^1028124761 is an apocalyptic number.

It is an amenable number.

1028124761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1028124761 is an equidigital number, since it uses as much as digits as its factorization.

1028124761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1028124761 is about 32064.3846190754. The cubic root of 1028124761 is about 1009.2883792294.

The spelling of 1028124761 in words is "one billion, twenty-eight million, one hundred twenty-four thousand, seven hundred sixty-one".