1353002220 has 72 divisors (see below), whose sum is σ = 4116687120. Its totient is φ = 359694720.

The previous prime is 1353002083. The next prime is 1353002237. The reversal of 1353002220 is 222003531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1353002193 and 1353002202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48226 + ... + 70934.

It is an arithmetic number, because the mean of its divisors is an integer number (57176210).

Almost surely, 2^1353002220 is an apocalyptic number.

1353002220 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 1353002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058343560).

1353002220 is an abundant number, since it is smaller than the sum of its proper divisors (2763684900).

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

1353002220 is a wasteful number, since it uses less digits than its factorization.

1353002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23055 (or 23050 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1353002220 is about 36783.1784923489. The cubic root of 1353002220 is about 1106.0281225034.

Adding to 1353002220 its reverse (222003531), we get a palindrome (1575005751).

The spelling of 1353002220 in words is "one billion, three hundred fifty-three million, two thousand, two hundred twenty".