1353521323152 has 50 divisors (see below), whose sum is σ = 3917483401238. Its totient is φ = 451173773952.

The previous prime is 1353521323109. The next prime is 1353521323213. The reversal of 1353521323152 is 2513231253531.

1353521323152 is a `hidden beast` number, since 1 + 3 + 53 + 521 + 3 + 2 + 31 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 702136740096 + 651384583056 = 837936^2 + 807084^2 .

It is a super-2 number, since 2×1353521323152² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 522190573 + ... + 522193164.

Almost surely, 2^{1353521323152} is an apocalyptic number.

1353521323152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1353521323152 is an abundant number, since it is smaller than the sum of its proper divisors (2563962078086).

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

1353521323152 is a wasteful number, since it uses less digits than its factorization.

1353521323152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044383757 (or 1044383742 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

Adding to 1353521323152 its reverse (2513231253531), we get a palindrome (3866752576683).

The spelling of 1353521323152 in words is "one trillion, three hundred fifty-three billion, five hundred twenty-one million, three hundred twenty-three thousand, one hundred fifty-two".