1361338000 has 80 divisors (see below), whose sum is σ = 3591020160. Its totient is φ = 495024000.

The previous prime is 1361337979. The next prime is 1361338001. The reversal of 1361338000 is 8331631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1361338001) 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, 8940 + ... + 52939.

It is an arithmetic number, because the mean of its divisors is an integer number (44887752).

Almost surely, 2^1361338000 is an apocalyptic number.

1361338000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361338000 is an abundant number, since it is smaller than the sum of its proper divisors (2229682160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1361338000 is a wasteful number, since it uses less digits than its factorization.

1361338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61913 (or 61897 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1361338000 is about 36896.3141790613. The cubic root of 1361338000 is about 1108.2948686722.

Adding to 1361338000 its reverse (8331631), we get a palindrome (1369669631).

The spelling of 1361338000 in words is "one billion, three hundred sixty-one million, three hundred thirty-eight thousand".