1017152064 has 84 divisors (see below), whose sum is σ = 2963379900. Its totient is φ = 333480960.

The previous prime is 1017152047. The next prime is 1017152107. The reversal of 1017152064 is 4602517101.

It is a happy number.

1017152064 is a `hidden beast` number, since 10 + 1 + 71 + 520 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 558849600 + 458302464 = 23640^2 + 21408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20662 + ... + 49610.

Almost surely, 2^1017152064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481689950).

1017152064 is an abundant number, since it is smaller than the sum of its proper divisors (1946227836).

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

1017152064 is a wasteful number, since it uses less digits than its factorization.

1017152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29028 (or 29015 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1017152064 is about 31892.8215120582. The cubic root of 1017152064 is about 1005.6849744876.

Adding to 1017152064 its reverse (4602517101), we get a palindrome (5619669165).

The spelling of 1017152064 in words is "one billion, seventeen million, one hundred fifty-two thousand, sixty-four".