1913966505 has 288 divisors, whose sum is σ = 4302305280. Its totient is φ = 780595200.

The previous prime is 1913966491. The next prime is 1913966513. The reversal of 1913966505 is 5056693191.

1913966505 is a `hidden beast` number, since 1 + 9 + 139 + 6 + 6 + 505 = 666.

1913966505 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1913966505 - 2⁴ = 1913966489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61740840 + ... + 61740870.

It is an arithmetic number, because the mean of its divisors is an integer number (14938560).

Almost surely, 2^1913966505 is an apocalyptic number.

1913966505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1913966505 is an abundant number, since it is smaller than the sum of its proper divisors (2388338775).

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

1913966505 is a wasteful number, since it uses less digits than its factorization.

1913966505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 1913966505 is about 43748.9029005300. The cubic root of 1913966505 is about 1241.5897285080.

The spelling of 1913966505 in words is "one billion, nine hundred thirteen million, nine hundred sixty-six thousand, five hundred five".