1353120219 has 48 divisors (see below), whose sum is σ = 2296045440. Its totient is φ = 758695680.

The previous prime is 1353120203. The next prime is 1353120227. The reversal of 1353120219 is 9120213531.

1353120219 is a `hidden beast` number, since 135 + 312 + 0 + 219 = 666.

It is not a de Polignac number, because 1353120219 - 2⁴ = 1353120203 is a prime.

It is a super-2 number, since 2×1353120219² = 3661868654133215922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1353120192 and 1353120201.

It is not an unprimeable number, because it can be changed into a prime (1353120269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92484 + ... + 106110.

It is an arithmetic number, because the mean of its divisors is an integer number (47834280).

Almost surely, 2^1353120219 is an apocalyptic number.

1353120219 is a deficient number, since it is larger than the sum of its proper divisors (942925221).

1353120219 is a wasteful number, since it uses less digits than its factorization.

1353120219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13720 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1353120219 is about 36784.7824378506. The cubic root of 1353120219 is about 1106.0602748081.

The spelling of 1353120219 in words is "one billion, three hundred fifty-three million, one hundred twenty thousand, two hundred nineteen".