10127183288825 has 12 divisors (see below), whose sum is σ = 12557926880748. Its totient is φ = 8101604952000.

The previous prime is 10127183288813. The next prime is 10127183288837. The reversal of 10127183288825 is 52888238172101.

It is an interprime number because it is at equal distance from previous prime (10127183288813) and next prime (10127183288837).

It can be written as a sum of positive squares in 6 ways, for example, as 1087371358441 + 9039811930384 = 1042771^2 + 3006628^2 .

It is not a de Polignac number, because 10127183288825 - 2⁴ = 10127183288809 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2071826 + ... + 4954475.

It is an arithmetic number, because the mean of its divisors is an integer number (1046493906729).

Almost surely, 2^{10127183288825} is an apocalyptic number.

It is an amenable number.

10127183288825 is a deficient number, since it is larger than the sum of its proper divisors (2430743591923).

10127183288825 is an equidigital number, since it uses as much as digits as its factorization.

10127183288825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7083964 (or 7083959 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 56.

The spelling of 10127183288825 in words is "ten trillion, one hundred twenty-seven billion, one hundred eighty-three million, two hundred eighty-eight thousand, eight hundred twenty-five".