1306650378150 has 864 divisors, whose sum is σ = 4234434291360. Its totient is φ = 297090478080.

The previous prime is 1306650378119. The next prime is 1306650378181. The reversal of 1306650378150 is 518730566031.

1306650378150 is a `hidden beast` number, since 1 + 3 + 0 + 66 + 503 + 7 + 81 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1306650378119) and next prime (1306650378181).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1306650378096 and 1306650378105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4857436216 + ... + 4857436484.

It is an arithmetic number, because the mean of its divisors is an integer number (4900965615).

Almost surely, 2^{1306650378150} is an apocalyptic number.

1306650378150 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 1306650378150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117217145680).

1306650378150 is an abundant number, since it is smaller than the sum of its proper divisors (2927783913210).

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

1306650378150 is a wasteful number, since it uses less digits than its factorization.

1306650378150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1306650378150 in words is "one trillion, three hundred six billion, six hundred fifty million, three hundred seventy-eight thousand, one hundred fifty".