1061615131506 has 96 divisors (see below), whose sum is σ = 2364139243440. Its totient is φ = 344169216000.

The previous prime is 1061615131481. The next prime is 1061615131579. The reversal of 1061615131506 is 6051315161601.

1061615131506 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 15 + 131 + 506 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 965571543225 + 96043588281 = 982635^2 + 309909^2 .

It is a super-2 number, since 2×1061615131506² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89710566 + ... + 89722398.

Almost surely, 2^{1061615131506} is an apocalyptic number.

1061615131506 is an abundant number, since it is smaller than the sum of its proper divisors (1302524111934).

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

1061615131506 is a wasteful number, since it uses less digits than its factorization.

1061615131506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12812 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 1061615131506 in words is "one trillion, sixty-one billion, six hundred fifteen million, one hundred thirty-one thousand, five hundred six".