1352533320420 has 96 divisors (see below), whose sum is σ = 3952959978240. Its totient is φ = 344888332800.

The previous prime is 1352533320409. The next prime is 1352533320431. The reversal of 1352533320420 is 240233352531.

It is an interprime number because it is at equal distance from previous prime (1352533320409) and next prime (1352533320431).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4406926 + ... + 4703834.

It is an arithmetic number, because the mean of its divisors is an integer number (41176666440).

Almost surely, 2^{1352533320420} is an apocalyptic number.

1352533320420 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 1352533320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976479989120).

1352533320420 is an abundant number, since it is smaller than the sum of its proper divisors (2600426657820).

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

1352533320420 is a wasteful number, since it uses less digits than its factorization.

1352533320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300245 (or 300243 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 1352533320420 its reverse (240233352531), we get a palindrome (1592766672951).

The spelling of 1352533320420 in words is "one trillion, three hundred fifty-two billion, five hundred thirty-three million, three hundred twenty thousand, four hundred twenty".