10259816437 has 12 divisors (see below), whose sum is σ = 11119557540. Its totient is φ = 9466217280.

The previous prime is 10259816323. The next prime is 10259816443. The reversal of 10259816437 is 73461895201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10259816437 is digitally balanced in base 3, 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 6 ways, for example, as 5794102161 + 4465714276 = 76119^2 + 66826^2 .

It is not a de Polignac number, because 10259816437 - 2⁷ = 10259816309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10259816477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4746637 + ... + 4748797.

It is an arithmetic number, because the mean of its divisors is an integer number (926629795).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10259816437 = 20519632874, but 3⋅10259816437 = 30779449311 is not.

Almost surely, 2^10259816437 is an apocalyptic number.

It is an amenable number.

10259816437 is a deficient number, since it is larger than the sum of its proper divisors (859741103).

10259816437 is an frugal number, since it uses more digits than its factorization.

10259816437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10259816437 in words is "ten billion, two hundred fifty-nine million, eight hundred sixteen thousand, four hundred thirty-seven".