1005364741752 has 384 divisors, whose sum is σ = 3420691223040. Its totient is φ = 270052392960.

The previous prime is 1005364741751. The next prime is 1005364741757. The reversal of 1005364741752 is 2571474635001.

1005364741752 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 6 + 474 + 175 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1005364741698 and 1005364741707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005364741751) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 281534127 + ... + 281537697.

It is an arithmetic number, because the mean of its divisors is an integer number (8908050060).

Almost surely, 2^{1005364741752} is an apocalyptic number.

1005364741752 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 1005364741752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710345611520).

1005364741752 is an abundant number, since it is smaller than the sum of its proper divisors (2415326481288).

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

1005364741752 is a wasteful number, since it uses less digits than its factorization.

1005364741752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 1005364741752 in words is "one trillion, five billion, three hundred sixty-four million, seven hundred forty-one thousand, seven hundred fifty-two".