413363137 has 16 divisors (see below), whose sum is σ = 455325120. Its totient is φ = 372153600.

The previous prime is 413363123. The next prime is 413363147. The reversal of 413363137 is 731363314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 413363137 - 2⁷ = 413363009 is a prime.

It is a super-3 number, since 3×413363137³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413363099 and 413363108.

It is not an unprimeable number, because it can be changed into a prime (413363147) 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, 726189 + ... + 726757.

It is an arithmetic number, because the mean of its divisors is an integer number (28457820).

Almost surely, 2^413363137 is an apocalyptic number.

It is an amenable number.

413363137 is a deficient number, since it is larger than the sum of its proper divisors (41961983).

413363137 is a wasteful number, since it uses less digits than its factorization.

413363137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104.

The product of its digits is 13608, while the sum is 31.

The square root of 413363137 is about 20331.3338716376. Note that the first 3 decimals coincide. The cubic root of 413363137 is about 744.9216241139.

The spelling of 413363137 in words is "four hundred thirteen million, three hundred sixty-three thousand, one hundred thirty-seven".