61001304 has 256 divisors, whose sum is σ = 209018880. Its totient is φ = 14376960.

The previous prime is 61001293. The next prime is 61001309. The reversal of 61001304 is 40310016.

61001304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61001309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150942 + ... + 1150994.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^61001304 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 61001304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

61001304 is an abundant number, since it is smaller than the sum of its proper divisors (148017576).

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

61001304 is a wasteful number, since it uses less digits than its factorization.

61001304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 61001304 is about 7810.3331555062. Note that the first 3 decimals coincide. The cubic root of 61001304 is about 393.6525233134.

The spelling of 61001304 in words is "sixty-one million, one thousand, three hundred four".