1001005051500 has 144 divisors (see below), whose sum is σ = 3163170890880. Its totient is φ = 266483827200.

The previous prime is 1001005051481. The next prime is 1001005051511. The reversal of 1001005051500 is 51505001001.

1001005051500 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 0 + 505 + 150 + 0 = 666.

It is a super-2 number, since 2×1001005051500² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 2480941 + ... + 2856059.

It is an arithmetic number, because the mean of its divisors is an integer number (21966464520).

Almost surely, 2^{1001005051500} is an apocalyptic number.

1001005051500 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 1001005051500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581585445440).

1001005051500 is an abundant number, since it is smaller than the sum of its proper divisors (2162165839380).

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

1001005051500 is a wasteful number, since it uses less digits than its factorization.

1001005051500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375737 (or 375722 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 1001005051500 in words is "one trillion, one billion, five million, fifty-one thousand, five hundred".