1013825175552 has 1024 divisors, whose sum is σ = 3631876300800. Its totient is φ = 276908212224.

The previous prime is 1013825175481. The next prime is 1013825175569. The reversal of 1013825175552 is 2555715283101.

1013825175552 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 8 + 25 + 1 + 75 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a junction number, because it is equal to n+sod(n) for n = 1013825175498 and 1013825175507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21570748393 + ... + 21570748439.

It is an arithmetic number, because the mean of its divisors is an integer number (3546754200).

Almost surely, 2^{1013825175552} is an apocalyptic number.

1013825175552 is a gapful number since it is divisible by the number (12) 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 1013825175552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815938150400).

1013825175552 is an abundant number, since it is smaller than the sum of its proper divisors (2618051125248).

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

1013825175552 is an frugal number, since it uses more digits than its factorization.

1013825175552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 1013825175552 in words is "one trillion, thirteen billion, eight hundred twenty-five million, one hundred seventy-five thousand, five hundred fifty-two".