1352395520 has 144 divisors (see below), whose sum is σ = 3730708800. Its totient is φ = 460111872.

The previous prime is 1352395511. The next prime is 1352395523. The reversal of 1352395520 is 255932531.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1352395523) by changing a digit.

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, 1334534 + ... + 1335546.

It is an arithmetic number, because the mean of its divisors is an integer number (25907700).

Almost surely, 2^1352395520 is an apocalyptic number.

1352395520 is a gapful number since it is divisible by the number (10) 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 1352395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865354400).

1352395520 is an abundant number, since it is smaller than the sum of its proper divisors (2378313280).

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

1352395520 is a wasteful number, since it uses less digits than its factorization.

1352395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 35.

The square root of 1352395520 is about 36774.9305913689. The cubic root of 1352395520 is about 1105.8627796889.

The spelling of 1352395520 in words is "one billion, three hundred fifty-two million, three hundred ninety-five thousand, five hundred twenty".