1005415131132 has 36 divisors (see below), whose sum is σ = 2555664176520. Its totient is φ = 333266093472.

The previous prime is 1005415131121. The next prime is 1005415131143. The reversal of 1005415131132 is 2311315145001.

1005415131132 is a `hidden beast` number, since 1 + 0 + 0 + 541 + 5 + 1 + 3 + 113 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1005415131121) and next prime (1005415131143).

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1005415131096 and 1005415131105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78005283 + ... + 78018170.

It is an arithmetic number, because the mean of its divisors is an integer number (70990671570).

Almost surely, 2^{1005415131132} is an apocalyptic number.

1005415131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005415131132 is an abundant number, since it is smaller than the sum of its proper divisors (1550249045388).

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

1005415131132 is a wasteful number, since it uses less digits than its factorization.

1005415131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156023642 (or 156023637 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 1005415131132 in words is "one trillion, five billion, four hundred fifteen million, one hundred thirty-one thousand, one hundred thirty-two".