1361055200 has 72 divisors (see below), whose sum is σ = 3330052488. Its totient is φ = 543214080.

The previous prime is 1361055197. The next prime is 1361055203. The reversal of 1361055200 is 25501631.

It is an interprime number because it is at equal distance from previous prime (1361055197) and next prime (1361055203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361055203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416774 + ... + 420026.

It is an arithmetic number, because the mean of its divisors is an integer number (46250729).

Almost surely, 2^1361055200 is an apocalyptic number.

1361055200 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 1361055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665026244).

1361055200 is an abundant number, since it is smaller than the sum of its proper divisors (1968997288).

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

1361055200 is a wasteful number, since it uses less digits than its factorization.

1361055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1361055200 is about 36892.4816188881. The cubic root of 1361055200 is about 1108.2181188142.

Adding to 1361055200 its reverse (25501631), we get a palindrome (1386556831).

The spelling of 1361055200 in words is "one billion, three hundred sixty-one million, fifty-five thousand, two hundred".