1506013287180 has 384 divisors, whose sum is σ = 4637322117120. Its totient is φ = 363771233280.

The previous prime is 1506013287157. The next prime is 1506013287269. The reversal of 1506013287180 is 817823106051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1377870714 + ... + 1377871806.

It is an arithmetic number, because the mean of its divisors is an integer number (12076359680).

Almost surely, 2^{1506013287180} is an apocalyptic number.

1506013287180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506013287180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318661058560).

1506013287180 is an abundant number, since it is smaller than the sum of its proper divisors (3131308829940).

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

1506013287180 is a wasteful number, since it uses less digits than its factorization.

1506013287180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 1506013287180 in words is "one trillion, five hundred six billion, thirteen million, two hundred eighty-seven thousand, one hundred eighty".