601313820 has 96 divisors (see below), whose sum is σ = 1744619520. Its totient is φ = 154586880.

The previous prime is 601313807. The next prime is 601313833. The reversal of 601313820 is 28313106.

601313820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (601313807) and next prime (601313833).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704514 + ... + 705366.

It is an arithmetic number, because the mean of its divisors is an integer number (18173120).

Almost surely, 2^601313820 is an apocalyptic number.

601313820 is a gapful number since it is divisible by the number (60) 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 601313820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872309760).

601313820 is an abundant number, since it is smaller than the sum of its proper divisors (1143305700).

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

601313820 is a wasteful number, since it uses less digits than its factorization.

601313820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 601313820 is about 24521.7010013580. The cubic root of 601313820 is about 844.0478380078.

Adding to 601313820 its reverse (28313106), we get a palindrome (629626926).

The spelling of 601313820 in words is "six hundred one million, three hundred thirteen thousand, eight hundred twenty".