10287952971 has 32 divisors (see below), whose sum is σ = 15340934400. Its totient is φ = 6104004480.

The previous prime is 10287952967. The next prime is 10287952973. The reversal of 10287952971 is 17925978201.

10287952971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10287952971 - 2² = 10287952967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10287952973) 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 31 ways as a sum of consecutive naturals, for example, 22945 + ... + 145266.

It is an arithmetic number, because the mean of its divisors is an integer number (479404200).

Almost surely, 2^10287952971 is an apocalyptic number.

10287952971 is a deficient number, since it is larger than the sum of its proper divisors (5052981429).

10287952971 is a wasteful number, since it uses less digits than its factorization.

10287952971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168299.

The product of its (nonzero) digits is 635040, while the sum is 51.

It can be divided in two parts, 1028795 and 2971, that added together give a triangular number (1031766 = T₁₄₃₆).

The spelling of 10287952971 in words is "ten billion, two hundred eighty-seven million, nine hundred fifty-two thousand, nine hundred seventy-one".