1052000756576 has 96 divisors (see below), whose sum is σ = 2597646868992. Its totient is φ = 407415951360.

The previous prime is 1052000756557. The next prime is 1052000756579. The reversal of 1052000756576 is 6756570002501.

It is a super-2 number, since 2×1052000756576² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052000756579) 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 15 ways as a sum of consecutive naturals, for example, 866801 + ... + 1689776.

It is an arithmetic number, because the mean of its divisors is an integer number (27058821552).

Almost surely, 2^{1052000756576} is an apocalyptic number.

1052000756576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1052000756576 is an abundant number, since it is smaller than the sum of its proper divisors (1545646112416).

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

1052000756576 is a wasteful number, since it uses less digits than its factorization.

1052000756576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556772 (or 2556764 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 44.

The spelling of 1052000756576 in words is "one trillion, fifty-two billion, seven hundred fifty-six thousand, five hundred seventy-six".