1052824582872 has 192 divisors, whose sum is σ = 3235544844480. Its totient is φ = 307397984256.

The previous prime is 1052824582867. The next prime is 1052824582879. The reversal of 1052824582872 is 2782854282501.

1052824582872 is a `hidden beast` number, since 1 + 0 + 52 + 8 + 2 + 4 + 582 + 8 + 7 + 2 = 666.

1052824582872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052824582872² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052824582879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536248 + ... + 1547000.

It is an arithmetic number, because the mean of its divisors is an integer number (16851796065).

Almost surely, 2^{1052824582872} is an apocalyptic number.

1052824582872 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 1052824582872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617772422240).

1052824582872 is an abundant number, since it is smaller than the sum of its proper divisors (2182720261608).

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

1052824582872 is a wasteful number, since it uses less digits than its factorization.

1052824582872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010842 (or 1010835 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 1052824582872 in words is "one trillion, fifty-two billion, eight hundred twenty-four million, five hundred eighty-two thousand, eight hundred seventy-two".