1006262550132 has 96 divisors (see below), whose sum is σ = 2720500473600. Its totient is φ = 283541609472.

The previous prime is 1006262550101. The next prime is 1006262550133. The reversal of 1006262550132 is 2310552626001.

It is a junction number, because it is equal to n+sod(n) for n = 1006262550093 and 1006262550102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006262550133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2735158 + ... + 3081170.

It is an arithmetic number, because the mean of its divisors is an integer number (28338546600).

Almost surely, 2^{1006262550132} is an apocalyptic number.

1006262550132 is a gapful number since it is divisible by the number (12) 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 1006262550132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360250236800).

1006262550132 is an abundant number, since it is smaller than the sum of its proper divisors (1714237923468).

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

1006262550132 is a wasteful number, since it uses less digits than its factorization.

1006262550132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346505 (or 346503 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 1006262550132 in words is "one trillion, six billion, two hundred sixty-two million, five hundred fifty thousand, one hundred thirty-two".