1351584689130 has 384 divisors, whose sum is σ = 4201289164800. Its totient is φ = 309837083904.

The previous prime is 1351584689113. The next prime is 1351584689137. The reversal of 1351584689130 is 319864851531.

1351584689130 is a `hidden beast` number, since 1 + 3 + 51 + 584 + 6 + 8 + 9 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1351584689137) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 35393307 + ... + 35431473.

It is an arithmetic number, because the mean of its divisors is an integer number (10940857200).

Almost surely, 2^{1351584689130} is an apocalyptic number.

1351584689130 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 1351584689130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100644582400).

1351584689130 is an abundant number, since it is smaller than the sum of its proper divisors (2849704475670).

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

1351584689130 is a wasteful number, since it uses less digits than its factorization.

1351584689130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38280 (or 38268 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1351584689130 in words is "one trillion, three hundred fifty-one billion, five hundred eighty-four million, six hundred eighty-nine thousand, one hundred thirty".