1361388609 has 45 divisors (see below), whose sum is σ = 2303231489. Its totient is φ = 774837000.

The previous prime is 1361388583. The next prime is 1361388629. The reversal of 1361388609 is 9068831631.

It is a happy number.

The square root of 1361388609 is 36897.

It is a perfect power (a square), and thus also a powerful number.

1361388609 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 38 + 8 + 609 = 666.

It is not a de Polignac number, because 1361388609 - 2⁹ = 1361388097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1361388629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5423734 + ... + 5423984.

Almost surely, 2^1361388609 is an apocalyptic number.

1361388609 is the 36897-th square number.

1361388609 is the 18449-th centered octagonal number.

It is an amenable number.

1361388609 is a deficient number, since it is larger than the sum of its proper divisors (941842880).

1361388609 is an frugal number, since it uses more digits than its factorization.

1361388609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The cubic root of 1361388609 is about 1108.3086024645.

Multiplying 1361388609 by its product of nonzero digits (186624), we get a square (254067787766016 = 15939504²).

The spelling of 1361388609 in words is "one billion, three hundred sixty-one million, three hundred eighty-eight thousand, six hundred nine".