1000509655320 has 256 divisors, whose sum is σ = 3904429132800. Its totient is φ = 223110097920.

The previous prime is 1000509655259. The next prime is 1000509655333. The reversal of 1000509655320 is 235569050001.

1000509655320 is a `hidden beast` number, since 10 + 0 + 0 + 5 + 0 + 96 + 553 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1303974 + ... + 1923893.

It is an arithmetic number, because the mean of its divisors is an integer number (15251676300).

Almost surely, 2^{1000509655320} is an apocalyptic number.

1000509655320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000509655320 is an abundant number, since it is smaller than the sum of its proper divisors (2903919477480).

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

1000509655320 is a wasteful number, since it uses less digits than its factorization.

1000509655320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227935 (or 3227925 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 1000509655320 in words is "one trillion, five hundred nine million, six hundred fifty-five thousand, three hundred twenty".