613010000 has 100 divisors (see below), whose sum is σ = 1510766400. Its totient is φ = 240816000.

The previous prime is 613009997. The next prime is 613010003. The reversal of 613010000 is 10316.

It is an interprime number because it is at equal distance from previous prime (613009997) and next prime (613010003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 589481 + ... + 590519.

It is an arithmetic number, because the mean of its divisors is an integer number (15107664).

Almost surely, 2^613010000 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 613010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755383200).

613010000 is an abundant number, since it is smaller than the sum of its proper divisors (897756400).

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

613010000 is a wasteful number, since it uses less digits than its factorization.

613010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 613010000 is about 24759.0387535542. The cubic root of 613010000 is about 849.4852708299.

Adding to 613010000 its reverse (10316), we get a palindrome (613020316).

The spelling of 613010000 in words is "six hundred thirteen million, ten thousand".