1052810136000 has 3136 divisors, whose sum is σ = 4976727485184. Its totient is φ = 214990848000.

The previous prime is 1052810135999. The next prime is 1052810136013. The reversal of 1052810136000 is 6310182501.

1052810136000 is a `hidden beast` number, since 1 + 0 + 52 + 8 + 1 + 0 + 1 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×1052810136000² (a number of 25 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 25678295980 + ... + 25678296020.

Almost surely, 2^{1052810136000} is an apocalyptic number.

1052810136000 is a gapful number since it is divisible by the number (10) 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 1052810136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488363742592).

1052810136000 is an abundant number, since it is smaller than the sum of its proper divisors (3923917349184).

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

1052810136000 is an equidigital number, since it uses as much as digits as its factorization.

1052810136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1052810136000 in words is "one trillion, fifty-two billion, eight hundred ten million, one hundred thirty-six thousand".