601010000 has 50 divisors (see below), whose sum is σ = 1455129522. Its totient is φ = 240400000.

The previous prime is 601009999. The next prime is 601010029. The reversal of 601010000 is 10106.

601010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 238640704 + 362369296 = 15448^2 + 19036^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×601010000² = 722426040200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 601010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20051 + ... + 40050.

Almost surely, 2^601010000 is an apocalyptic number.

It is an amenable number.

601010000 is an abundant number, since it is smaller than the sum of its proper divisors (854119522).

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

601010000 is an equidigital number, since it uses as much as digits as its factorization.

601010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60129 (or 60108 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 601010000 is about 24515.5052976682. The cubic root of 601010000 is about 843.9056594387.

Adding to 601010000 its reverse (10106), we get a palindrome (601020106).

The spelling of 601010000 in words is "six hundred one million, ten thousand".