363115413 has 16 divisors (see below), whose sum is σ = 538964800. Its totient is φ = 241619760.

The previous prime is 363115397. The next prime is 363115429. The reversal of 363115413 is 314511363.

363115413 is a `hidden beast` number, since 3 + 631 + 15 + 4 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (363115397) and next prime (363115429).

It is not a de Polignac number, because 363115413 - 2⁴ = 363115397 is a prime.

It is a super-3 number, since 3×363115413³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363115433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2178 + ... + 27036.

It is an arithmetic number, because the mean of its divisors is an integer number (33685300).

Almost surely, 2^363115413 is an apocalyptic number.

It is an amenable number.

363115413 is a deficient number, since it is larger than the sum of its proper divisors (175849387).

363115413 is a wasteful number, since it uses less digits than its factorization.

363115413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25409 (or 25403 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 363115413 is about 19055.5874483050. The cubic root of 363115413 is about 713.4248422263.

Adding to 363115413 its reverse (314511363), we get a palindrome (677626776).

It can be divided in two parts, 3631 and 15413, that added together give a square (19044 = 138²).

The spelling of 363115413 in words is "three hundred sixty-three million, one hundred fifteen thousand, four hundred thirteen".