363088541 has 2 divisors, whose sum is σ = 363088542. Its totient is φ = 363088540.

The previous prime is 363088513. The next prime is 363088619. The reversal of 363088541 is 145880363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 337787641 + 25300900 = 18379^2 + 5030^2 .

It is a cyclic number.

It is not a de Polignac number, because 363088541 - 2¹⁸ = 362826397 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 363088495 and 363088504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (363088241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181544270 + 181544271.

It is an arithmetic number, because the mean of its divisors is an integer number (181544271).

Almost surely, 2^363088541 is an apocalyptic number.

It is an amenable number.

363088541 is a deficient number, since it is larger than the sum of its proper divisors (1).

363088541 is an equidigital number, since it uses as much as digits as its factorization.

363088541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 363088541 is about 19054.8823402298. The cubic root of 363088541 is about 713.4072430236.

The spelling of 363088541 in words is "three hundred sixty-three million, eighty-eight thousand, five hundred forty-one".