10254281536 has 56 divisors (see below), whose sum is σ = 20772525384. Its totient is φ = 5020999680.

The previous prime is 10254281533. The next prime is 10254281539. The reversal of 10254281536 is 63518245201.

It is an interprime number because it is at equal distance from previous prime (10254281533) and next prime (10254281539).

It can be written as a sum of positive squares in 4 ways, for example, as 397763136 + 9856518400 = 19944^2 + 99280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10254281495 and 10254281504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254281533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 903996 + ... + 915268.

Almost surely, 2^10254281536 is an apocalyptic number.

10254281536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10254281536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10386262692).

10254281536 is an abundant number, since it is smaller than the sum of its proper divisors (10518243848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10254281536 is a wasteful number, since it uses less digits than its factorization.

10254281536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11579 (or 11569 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 10254281536 in words is "ten billion, two hundred fifty-four million, two hundred eighty-one thousand, five hundred thirty-six".