361513120 has 48 divisors (see below), whose sum is σ = 860848128. Its totient is φ = 143458560.

The previous prime is 361513111. The next prime is 361513127. The reversal of 361513120 is 21315163.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 361513091 and 361513100.

It is not an unprimeable number, because it can be changed into a prime (361513127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11425 + ... + 29215.

It is an arithmetic number, because the mean of its divisors is an integer number (17934336).

Almost surely, 2^361513120 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 361513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430424064).

361513120 is an abundant number, since it is smaller than the sum of its proper divisors (499335008).

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

361513120 is a wasteful number, since it uses less digits than its factorization.

361513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17933 (or 17925 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 361513120 is about 19013.4983630052. The cubic root of 361513120 is about 712.3739356322.

Adding to 361513120 its reverse (21315163), we get a palindrome (382828283).

The spelling of 361513120 in words is "three hundred sixty-one million, five hundred thirteen thousand, one hundred twenty".