1361337516 has 384 divisors, whose sum is σ = 4655185920. Its totient is φ = 338022720.

The previous prime is 1361337499. The next prime is 1361337529. The reversal of 1361337516 is 6157331631.

It is a happy number.

1361337516 is a `hidden beast` number, since 1 + 3 + 6 + 133 + 7 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28964605 + ... + 28964651.

It is an arithmetic number, because the mean of its divisors is an integer number (12122880).

Almost surely, 2^1361337516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361337516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327592960).

1361337516 is an abundant number, since it is smaller than the sum of its proper divisors (3293848404).

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

1361337516 is a wasteful number, since it uses less digits than its factorization.

1361337516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 1361337516 is about 36896.3076201400. The cubic root of 1361337516 is about 1108.2947373272.

The spelling of 1361337516 in words is "one billion, three hundred sixty-one million, three hundred thirty-seven thousand, five hundred sixteen".