1052342113032 has 256 divisors, whose sum is σ = 3389879616000. Its totient is φ = 296257388544.

The previous prime is 1052342113007. The next prime is 1052342113049. The reversal of 1052342113032 is 2303112432501.

1052342113032 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 342 + 11 + 303 + 2 = 666.

It is a super-2 number, since 2×1052342113032² (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 junction number, because it is equal to n+sod(n) for n = 1052342112987 and 1052342113005.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 127259394 + ... + 127267662.

It is an arithmetic number, because the mean of its divisors is an integer number (13241717250).

Almost surely, 2^{1052342113032} is an apocalyptic number.

1052342113032 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 1052342113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694939808000).

1052342113032 is an abundant number, since it is smaller than the sum of its proper divisors (2337537502968).

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

1052342113032 is a wasteful number, since it uses less digits than its factorization.

1052342113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9517 (or 9507 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1052342113032 its reverse (2303112432501), we get a palindrome (3355454545533).

The spelling of 1052342113032 in words is "one trillion, fifty-two billion, three hundred forty-two million, one hundred thirteen thousand, thirty-two".