10274235413 has 16 divisors (see below), whose sum is σ = 11737209456. Its totient is φ = 8909429760.

The previous prime is 10274235373. The next prime is 10274235421. The reversal of 10274235413 is 31453247201.

10274235413 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 8 ways, for example, as 8898289 + 10265337124 = 2983^2 + 101318^2 .

It is a cyclic number.

It is not a de Polignac number, because 10274235413 - 2²⁸ = 10005799957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10274235413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10274235473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76595 + ... + 162527.

It is an arithmetic number, because the mean of its divisors is an integer number (733575591).

Almost surely, 2^10274235413 is an apocalyptic number.

10274235413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10274235413 is a deficient number, since it is larger than the sum of its proper divisors (1462974043).

10274235413 is a wasteful number, since it uses less digits than its factorization.

10274235413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86504.

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 10274235413 in words is "ten billion, two hundred seventy-four million, two hundred thirty-five thousand, four hundred thirteen".