353513020 has 48 divisors (see below), whose sum is σ = 856396800. Its totient is φ = 120066624.

The previous prime is 353513003. The next prime is 353513023. The reversal of 353513020 is 20315353.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 353512982 and 353513000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353513023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3181 + ... + 26779.

It is an arithmetic number, because the mean of its divisors is an integer number (17841600).

Almost surely, 2^353513020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353513020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428198400).

353513020 is an abundant number, since it is smaller than the sum of its proper divisors (502883780).

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

353513020 is a wasteful number, since it uses less digits than its factorization.

353513020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23722 (or 23720 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 353513020 is about 18801.9419209825. The cubic root of 353513020 is about 707.0798664332.

Adding to 353513020 its reverse (20315353), we get a palindrome (373828373).

The spelling of 353513020 in words is "three hundred fifty-three million, five hundred thirteen thousand, twenty".