1010006761 has 2 divisors, whose sum is σ = 1010006762. Its totient is φ = 1010006760.

The previous prime is 1010006749. The next prime is 1010006783. The reversal of 1010006761 is 1676000101.

It is an a-pointer prime, because the next prime (1010006783) can be obtained adding 1010006761 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 730080400 + 279926361 = 27020^2 + 16731^2 .

It is an emirp because it is prime and its reverse (1676000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010006761 - 2⁵ = 1010006729 is a prime.

It is a super-2 number, since 2×1010006761² = 2040227314531422242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010006791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505003380 + 505003381.

It is an arithmetic number, because the mean of its divisors is an integer number (505003381).

Almost surely, 2^1010006761 is an apocalyptic number.

It is an amenable number.

1010006761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010006761 is an equidigital number, since it uses as much as digits as its factorization.

1010006761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1010006761 is about 31780.6035342314. The cubic root of 1010006761 is about 1003.3245223034.

Adding to 1010006761 its reverse (1676000101), we get a palindrome (2686006862).

The spelling of 1010006761 in words is "one billion, ten million, six thousand, seven hundred sixty-one".