10257983972 has 12 divisors (see below), whose sum is σ = 17953280940. Its totient is φ = 5128475136.

The previous prime is 10257983903. The next prime is 10257983977. The reversal of 10257983972 is 27938975201.

It is a happy number.

10257983972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3459321856 + 6798662116 = 58816^2 + 82454^2 .

It is not an unprimeable number, because it can be changed into a prime (10257983977) 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 3 ways as a sum of consecutive naturals, for example, 82697 + ... + 165392.

It is an arithmetic number, because the mean of its divisors is an integer number (1496106745).

Almost surely, 2^10257983972 is an apocalyptic number.

It is an amenable number.

10257983972 is a deficient number, since it is larger than the sum of its proper divisors (7695296968).

10257983972 is a wasteful number, since it uses less digits than its factorization.

10257983972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258430 (or 258428 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 10257983972 in words is "ten billion, two hundred fifty-seven million, nine hundred eighty-three thousand, nine hundred seventy-two".