363021813 has 48 divisors (see below), whose sum is σ = 655589376. Its totient is φ = 188053920.

The previous prime is 363021787. The next prime is 363021863. The reversal of 363021813 is 318120363.

It is a happy number.

363021813 is a `hidden beast` number, since 3 + 630 + 2 + 18 + 13 = 666.

It is not a de Polignac number, because 363021813 - 2⁹ = 363021301 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363021863) 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, 420220 + ... + 421082.

It is an arithmetic number, because the mean of its divisors is an integer number (13658112).

Almost surely, 2^363021813 is an apocalyptic number.

363021813 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

363021813 is a deficient number, since it is larger than the sum of its proper divisors (292567563).

363021813 is a wasteful number, since it uses less digits than its factorization.

363021813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 363021813 is about 19053.1313174502. The cubic root of 363021813 is about 713.3635372883.

The spelling of 363021813 in words is "three hundred sixty-three million, twenty-one thousand, eight hundred thirteen".