10254313224 has 192 divisors, whose sum is σ = 29962483200. Its totient is φ = 3158258688.

The previous prime is 10254313189. The next prime is 10254313259. The reversal of 10254313224 is 42231345201.

10254313224 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 431 + 3 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (10254313189) and next prime (10254313259).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16893129 + ... + 16893735.

It is an arithmetic number, because the mean of its divisors is an integer number (156054600).

Almost surely, 2^10254313224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10254313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981241600).

10254313224 is an abundant number, since it is smaller than the sum of its proper divisors (19708169976).

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

10254313224 is a wasteful number, since it uses less digits than its factorization.

10254313224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10254313224 its reverse (42231345201), we get a palindrome (52485658425).

The spelling of 10254313224 in words is "ten billion, two hundred fifty-four million, three hundred thirteen thousand, two hundred twenty-four".