1352551117752 has 96 divisors (see below), whose sum is σ = 3906950954400. Its totient is φ = 421232412672.

The previous prime is 1352551117741. The next prime is 1352551117777. The reversal of 1352551117752 is 2577111552531.

It is a happy number.

1352551117752 is a `hidden beast` number, since 1 + 3 + 52 + 5 + 511 + 17 + 75 + 2 = 666.

It is a super-3 number, since 3×1352551117752³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1352551117698 and 1352551117707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3865252 + ... + 4200627.

It is an arithmetic number, because the mean of its divisors is an integer number (40697405775).

Almost surely, 2^{1352551117752} is an apocalyptic number.

1352551117752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1352551117752 is an abundant number, since it is smaller than the sum of its proper divisors (2554399836648).

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

1352551117752 is a wasteful number, since it uses less digits than its factorization.

1352551117752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8066045 (or 8066038 counting only the distinct ones).

The product of its digits is 367500, while the sum is 45.

The spelling of 1352551117752 in words is "one trillion, three hundred fifty-two billion, five hundred fifty-one million, one hundred seventeen thousand, seven hundred fifty-two".