1361513790 has 192 divisors, whose sum is σ = 4475592576. Its totient is φ = 279438336.

The previous prime is 1361513771. The next prime is 1361513801. The reversal of 1361513790 is 973151631.

1361513790 is a `hidden beast` number, since 1 + 3 + 615 + 1 + 37 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300784 + ... + 305276.

It is an arithmetic number, because the mean of its divisors is an integer number (23310378).

Almost surely, 2^1361513790 is an apocalyptic number.

1361513790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361513790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237796288).

1361513790 is an abundant number, since it is smaller than the sum of its proper divisors (3114078786).

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

1361513790 is a wasteful number, since it uses less digits than its factorization.

1361513790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1361513790 is about 36898.6963184338. The cubic root of 1361513790 is about 1108.3425714395.

The spelling of 1361513790 in words is "one billion, three hundred sixty-one million, five hundred thirteen thousand, seven hundred ninety".