1017001120064 has 56 divisors (see below), whose sum is σ = 2087563008000. Its totient is φ = 491069514240.

The previous prime is 1017001120061. The next prime is 1017001120133. The reversal of 1017001120064 is 4600211007101.

It is a happy number.

1017001120064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1017001120064² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017001120061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415262 + ... + 1485410.

Almost surely, 2^{1017001120064} 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 1017001120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043781504000).

1017001120064 is an abundant number, since it is smaller than the sum of its proper divisors (1070561887936).

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

1017001120064 is a wasteful number, since it uses less digits than its factorization.

1017001120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070671 (or 1070661 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 1017001120064 its reverse (4600211007101), we get a palindrome (5617212127165).

The spelling of 1017001120064 in words is "one trillion, seventeen billion, one million, one hundred twenty thousand, sixty-four".