5256085653000 has 4096 divisors, whose sum is σ = 25813831680000. Its totient is φ = 956709273600.

The previous prime is 5256085652947. The next prime is 5256085653059. The reversal of 5256085653000 is 3565806525.

5256085653000 is a `hidden beast` number, since 5 + 2 + 5 + 60 + 8 + 56 + 530 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 29363606911 + ... + 29363607089.

It is an arithmetic number, because the mean of its divisors is an integer number (6302205000).

Almost surely, 2^{5256085653000} is an apocalyptic number.

5256085653000 is a gapful number since it is divisible by the number (50) 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 5256085653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906915840000).

5256085653000 is an abundant number, since it is smaller than the sum of its proper divisors (20557746027000).

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

5256085653000 is a wasteful number, since it uses less digits than its factorization.

5256085653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 5256085653000 in words is "five trillion, two hundred fifty-six billion, eighty-five million, six hundred fifty-three thousand".