1017051672 has 128 divisors (see below), whose sum is σ = 3139315200. Its totient is φ = 267383808.

The previous prime is 1017051661. The next prime is 1017051677. The reversal of 1017051672 is 2761507101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017051677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 997579 + ... + 998597.

It is an arithmetic number, because the mean of its divisors is an integer number (24525900).

Almost surely, 2^1017051672 is an apocalyptic number.

1017051672 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 1017051672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569657600).

1017051672 is an abundant number, since it is smaller than the sum of its proper divisors (2122263528).

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

1017051672 is a wasteful number, since it uses less digits than its factorization.

1017051672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 1017051672 is about 31891.2475767255. The cubic root of 1017051672 is about 1005.6518866629.

Adding to 1017051672 its reverse (2761507101), we get a palindrome (3778558773).

The spelling of 1017051672 in words is "one billion, seventeen million, fifty-one thousand, six hundred seventy-two".