1010161002564 has 324 divisors, whose sum is σ = 3106816719552. Its totient is φ = 271058529600.

The previous prime is 1010161002559. The next prime is 1010161002581. The reversal of 1010161002564 is 4652001610101.

1010161002564 is a `hidden beast` number, since 10 + 10 + 1 + 610 + 0 + 25 + 6 + 4 = 666.

It is a super-2 number, since 2×1010161002564² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 2074252329 + ... + 2074252815.

Almost surely, 2^{1010161002564} is an apocalyptic number.

1010161002564 is a gapful number since it is divisible by the number (14) 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 1010161002564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553408359776).

1010161002564 is an abundant number, since it is smaller than the sum of its proper divisors (2096655716988).

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

1010161002564 is a wasteful number, since it uses less digits than its factorization.

1010161002564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 1010161002564 its reverse (4652001610101), we get a palindrome (5662162612665).

The spelling of 1010161002564 in words is "one trillion, ten billion, one hundred sixty-one million, two thousand, five hundred sixty-four".