10253082082752 has 168 divisors, whose sum is σ = 31627472555952. Its totient is φ = 3163920998400.

The previous prime is 10253082082739. The next prime is 10253082082777. The reversal of 10253082082752 is 25728028035201.

10253082082752 is a `hidden beast` number, since 10 + 2 + 530 + 8 + 20 + 82 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10253082082698 and 10253082082707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7985374 + ... + 9179997.

It is an arithmetic number, because the mean of its divisors is an integer number (188258765214).

Almost surely, 2^{10253082082752} is an apocalyptic number.

10253082082752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10253082082752 is an abundant number, since it is smaller than the sum of its proper divisors (21374390473200).

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

10253082082752 is a wasteful number, since it uses less digits than its factorization.

10253082082752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17165467 (or 17165454 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 10253082082752 in words is "ten trillion, two hundred fifty-three billion, eighty-two million, eighty-two thousand, seven hundred fifty-two".