1352596752 has 160 divisors (see below), whose sum is σ = 4203480960. Its totient is φ = 413959680.

The previous prime is 1352596727. The next prime is 1352596759. The reversal of 1352596752 is 2576952531.

1352596752 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 596 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1352596698 and 1352596707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352596759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274302 + ... + 1275362.

It is an arithmetic number, because the mean of its divisors is an integer number (26271756).

Almost surely, 2^1352596752 is an apocalyptic number.

1352596752 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 1352596752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101740480).

1352596752 is an abundant number, since it is smaller than the sum of its proper divisors (2850884208).

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

1352596752 is a wasteful number, since it uses less digits than its factorization.

1352596752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1306 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 1352596752 is about 36777.6664838867. Note that the first 3 decimals coincide. The cubic root of 1352596752 is about 1105.9176265487.

The spelling of 1352596752 in words is "one billion, three hundred fifty-two million, five hundred ninety-six thousand, seven hundred fifty-two".