1353675752 has 64 divisors (see below), whose sum is σ = 2997812160. Its totient is φ = 564940800.

The previous prime is 1353675751. The next prime is 1353675773. The reversal of 1353675752 is 2575763531.

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

It is not an unprimeable number, because it can be changed into a prime (1353675751) 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, 217727 + ... + 223857.

It is an arithmetic number, because the mean of its divisors is an integer number (46840815).

Almost surely, 2^1353675752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353675752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498906080).

1353675752 is an abundant number, since it is smaller than the sum of its proper divisors (1644136408).

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

1353675752 is a wasteful number, since it uses less digits than its factorization.

1353675752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6350 counting only the distinct ones).

The product of its digits is 661500, while the sum is 44.

The square root of 1353675752 is about 36792.3327882318. The cubic root of 1353675752 is about 1106.2116210333.

The spelling of 1353675752 in words is "one billion, three hundred fifty-three million, six hundred seventy-five thousand, seven hundred fifty-two".