1361205552500 has 180 divisors, whose sum is σ = 3249990998100. Its totient is φ = 498028608000.

The previous prime is 1361205552463. The next prime is 1361205552547. The reversal of 1361205552500 is 52555021631.

It can be written as a sum of positive squares in 10 ways, for example, as 546493519504 + 814712032996 = 739252^2 + 902614^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26146496 + ... + 26198504.

It is an arithmetic number, because the mean of its divisors is an integer number (18055505545).

Almost surely, 2^{1361205552500} is an apocalyptic number.

1361205552500 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 1361205552500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624995499050).

1361205552500 is an abundant number, since it is smaller than the sum of its proper divisors (1888785445600).

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

1361205552500 is a wasteful number, since it uses less digits than its factorization.

1361205552500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52100 (or 52064 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 1361205552500 in words is "one trillion, three hundred sixty-one billion, two hundred five million, five hundred fifty-two thousand, five hundred".