10001278761 has 12 divisors (see below), whose sum is σ = 13940032848. Its totient is φ = 6377626024.

The previous prime is 10001278757. The next prime is 10001278783. The reversal of 10001278761 is 16787210001.

10001278761 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001278761 - 2² = 10001278757 is a prime.

It is a super-4 number, since 4×10001278761⁴ (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001278361) 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 in 11 ways as a sum of consecutive naturals, for example, 3149415 + ... + 3152588.

It is an arithmetic number, because the mean of its divisors is an integer number (1161669404).

Almost surely, 2^10001278761 is an apocalyptic number.

It is an amenable number.

10001278761 is a deficient number, since it is larger than the sum of its proper divisors (3938754087).

10001278761 is an equidigital number, since it uses as much as digits as its factorization.

10001278761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302052 (or 6302029 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

Adding to 10001278761 its reverse (16787210001), we get a palindrome (26788488762).

The spelling of 10001278761 in words is "ten billion, one million, two hundred seventy-eight thousand, seven hundred sixty-one".