10253203128 has 128 divisors (see below), whose sum is σ = 33600000000. Its totient is φ = 2834974080.

The previous prime is 10253203109. The next prime is 10253203151. The reversal of 10253203128 is 82130235201.

10253203128 is a `hidden beast` number, since 1 + 0 + 2 + 532 + 0 + 3 + 128 = 666.

10253203128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 62503 + ... + 156246.

It is an arithmetic number, because the mean of its divisors is an integer number (262500000).

Almost surely, 2^10253203128 is an apocalyptic number.

10253203128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10253203128 is an abundant number, since it is smaller than the sum of its proper divisors (23346796872).

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

10253203128 is a wasteful number, since it uses less digits than its factorization.

10253203128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218802 (or 218792 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10253203128 its reverse (82130235201), we get a palindrome (92383438329).

The spelling of 10253203128 in words is "ten billion, two hundred fifty-three million, two hundred three thousand, one hundred twenty-eight".