1352995056 has 320 divisors, whose sum is σ = 4737792000. Its totient is φ = 368831232.

The previous prime is 1352995051. The next prime is 1352995057. The reversal of 1352995056 is 6505992531.

1352995056 is a `hidden beast` number, since 1 + 3 + 52 + 99 + 505 + 6 = 666.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352995051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3407850 + ... + 3408246.

It is an arithmetic number, because the mean of its divisors is an integer number (14805600).

Almost surely, 2^1352995056 is an apocalyptic number.

1352995056 is a gapful number since it is divisible by the number (16) 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 1352995056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368896000).

1352995056 is an abundant number, since it is smaller than the sum of its proper divisors (3384796944).

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

1352995056 is a wasteful number, since it uses less digits than its factorization.

1352995056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 1352995056 is about 36783.0811107498. The cubic root of 1352995056 is about 1106.0261704003.

The spelling of 1352995056 in words is "one billion, three hundred fifty-two million, nine hundred ninety-five thousand, fifty-six".