1353022632 has 96 divisors (see below), whose sum is σ = 4042682280. Its totient is φ = 406149120.

The previous prime is 1353022631. The next prime is 1353022663. The reversal of 1353022632 is 2362203531.

1353022632 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 22 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178863876 + 1174158756 = 13374^2 + 34266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1353022596 and 1353022605.

It is not an unprimeable number, because it can be changed into a prime (1353022631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20748 + ... + 56004.

Almost surely, 2^1353022632 is an apocalyptic number.

1353022632 is a gapful number since it is divisible by the number (12) 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 1353022632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021341140).

1353022632 is an abundant number, since it is smaller than the sum of its proper divisors (2689659648).

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

1353022632 is a wasteful number, since it uses less digits than its factorization.

1353022632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35323 (or 35316 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1353022632 is about 36783.4559550894. The cubic root of 1353022632 is about 1106.0336844880.

The spelling of 1353022632 in words is "one billion, three hundred fifty-three million, twenty-two thousand, six hundred thirty-two".