1363661541 has 16 divisors (see below), whose sum is σ = 2203897920. Its totient is φ = 826461360.

The previous prime is 1363661503. The next prime is 1363661549. The reversal of 1363661541 is 1451663631.

1363661541 is a `hidden beast` number, since 1 + 3 + 6 + 36 + 615 + 4 + 1 = 666.

It is not a de Polignac number, because 1363661541 - 2¹⁹ = 1363137253 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1363661496 and 1363661505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363661549) 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, 2295430 + ... + 2296023.

It is an arithmetic number, because the mean of its divisors is an integer number (137743620).

Almost surely, 2^1363661541 is an apocalyptic number.

1363661541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1363661541 is a deficient number, since it is larger than the sum of its proper divisors (840236379).

1363661541 is a wasteful number, since it uses less digits than its factorization.

1363661541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591473 (or 4591467 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 1363661541 is about 36927.7881953415. The cubic root of 1363661541 is about 1108.9250586887.

The spelling of 1363661541 in words is "one billion, three hundred sixty-three million, six hundred sixty-one thousand, five hundred forty-one".