1352352564 has 48 divisors (see below), whose sum is σ = 3508982400. Its totient is φ = 450413568.

The previous prime is 1352352559. The next prime is 1352352583. The reversal of 1352352564 is 4652532531.

1352352564 is a `hidden beast` number, since 13 + 52 + 35 + 2 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147729 + ... + 156615.

It is an arithmetic number, because the mean of its divisors is an integer number (73103800).

Almost surely, 2^1352352564 is an apocalyptic number.

It is an amenable number.

1352352564 is an abundant number, since it is smaller than the sum of its proper divisors (2156629836).

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

1352352564 is a wasteful number, since it uses less digits than its factorization.

1352352564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10309 (or 10301 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 1352352564 is about 36774.3465475595. The cubic root of 1352352564 is about 1105.8510710963.

The spelling of 1352352564 in words is "one billion, three hundred fifty-two million, three hundred fifty-two thousand, five hundred sixty-four".