1006513272 has 96 divisors (see below), whose sum is σ = 2796468480. Its totient is φ = 326894400.

The previous prime is 1006513267. The next prime is 1006513279. The reversal of 1006513272 is 2723156001.

It is a happy number.

1006513272 is a `hidden beast` number, since 1 + 0 + 0 + 651 + 3 + 2 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006513279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957147 + ... + 958197.

It is an arithmetic number, because the mean of its divisors is an integer number (29129880).

Almost surely, 2^1006513272 is an apocalyptic number.

1006513272 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 1006513272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398234240).

1006513272 is an abundant number, since it is smaller than the sum of its proper divisors (1789955208).

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

1006513272 is a wasteful number, since it uses less digits than its factorization.

1006513272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1006513272 is about 31725.5933277851. The cubic root of 1006513272 is about 1002.1663940145.

Adding to 1006513272 its reverse (2723156001), we get a palindrome (3729669273).

The spelling of 1006513272 in words is "one billion, six million, five hundred thirteen thousand, two hundred seventy-two".