1000506616506 has 96 divisors (see below), whose sum is σ = 2321406622080. Its totient is φ = 310501900800.

The previous prime is 1000506616427. The next prime is 1000506616507. The reversal of 1000506616506 is 6056166050001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000506616507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7534446 + ... + 7666086.

It is an arithmetic number, because the mean of its divisors is an integer number (24181318980).

Almost surely, 2^{1000506616506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000506616506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160703311040).

1000506616506 is an abundant number, since it is smaller than the sum of its proper divisors (1320900005574).

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

1000506616506 is a wasteful number, since it uses less digits than its factorization.

1000506616506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132052 (or 132049 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1000506616506 in words is "one trillion, five hundred six million, six hundred sixteen thousand, five hundred six".