1361413000 has 64 divisors (see below), whose sum is σ = 3207438000. Its totient is φ = 540851200.

The previous prime is 1361412979. The next prime is 1361413003. The reversal of 1361413000 is 3141631.

It can be written as a sum of positive squares in 8 ways, for example, as 186431716 + 1174981284 = 13654^2 + 34278^2 .

It is not an unprimeable number, because it can be changed into a prime (1361413003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144432 + ... + 153568.

Almost surely, 2^1361413000 is an apocalyptic number.

1361413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603719000).

1361413000 is an abundant number, since it is smaller than the sum of its proper divisors (1846025000).

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

1361413000 is a wasteful number, since it uses less digits than its factorization.

1361413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1361413000 is about 36897.3305267468. The cubic root of 1361413000 is about 1108.3152213421.

Adding to 1361413000 its reverse (3141631), we get a palindrome (1364554631).

The spelling of 1361413000 in words is "one billion, three hundred sixty-one million, four hundred thirteen thousand".