1052652069120 has 288 divisors, whose sum is σ = 3541686220800. Its totient is φ = 265720061952.

The previous prime is 1052652069107. The next prime is 1052652069121. The reversal of 1052652069120 is 219602562501.

It is a super-2 number, since 2×1052652069120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052652069121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 103817011 + ... + 103827149.

It is an arithmetic number, because the mean of its divisors is an integer number (12297521600).

Almost surely, 2^{1052652069120} is an apocalyptic number.

1052652069120 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 1052652069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770843110400).

1052652069120 is an abundant number, since it is smaller than the sum of its proper divisors (2489034151680).

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

1052652069120 is a wasteful number, since it uses less digits than its factorization.

1052652069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11605 (or 11591 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 1052652069120 in words is "one trillion, fifty-two billion, six hundred fifty-two million, sixty-nine thousand, one hundred twenty".