1531505150120 has 512 divisors, whose sum is σ = 4144705044480. Its totient is φ = 503600993280.

The previous prime is 1531505150089. The next prime is 1531505150177. The reversal of 1531505150120 is 210515051351.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2106609197 + ... + 2106609923.

It is an arithmetic number, because the mean of its divisors is an integer number (8095127040).

Almost surely, 2^{1531505150120} is an apocalyptic number.

1531505150120 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 1531505150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072352522240).

1531505150120 is an abundant number, since it is smaller than the sum of its proper divisors (2613199894360).

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

1531505150120 is a wasteful number, since it uses less digits than its factorization.

1531505150120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 1531505150120 in words is "one trillion, five hundred thirty-one billion, five hundred five million, one hundred fifty thousand, one hundred twenty".