1006531171520 has 168 divisors, whose sum is σ = 2826313619904. Its totient is φ = 340368666624.

The previous prime is 1006531171453. The next prime is 1006531171537. The reversal of 1006531171520 is 251711356001.

It is a super-2 number, since 2×1006531171520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704969 + ... + 1584311.

Almost surely, 2^{1006531171520} is an apocalyptic number.

1006531171520 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 1006531171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413156809952).

1006531171520 is an abundant number, since it is smaller than the sum of its proper divisors (1819782448384).

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

1006531171520 is an equidigital number, since it uses as much as digits as its factorization.

1006531171520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879447 (or 879430 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The spelling of 1006531171520 in words is "one trillion, six billion, five hundred thirty-one million, one hundred seventy-one thousand, five hundred twenty".