611253104 has 80 divisors (see below), whose sum is σ = 1554305280. Its totient is φ = 225607680.

The previous prime is 611253059. The next prime is 611253107. The reversal of 611253104 is 401352116.

It is a self number, because there is not a number n which added to its sum of digits gives 611253104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611253107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10352 + ... + 36464.

It is an arithmetic number, because the mean of its divisors is an integer number (19428816).

Almost surely, 2^611253104 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 611253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777152640).

611253104 is an abundant number, since it is smaller than the sum of its proper divisors (943052176).

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

611253104 is a wasteful number, since it uses less digits than its factorization.

611253104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26158 (or 26152 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 611253104 is about 24723.5334044307. The cubic root of 611253104 is about 848.6729483823.

The spelling of 611253104 in words is "six hundred eleven million, two hundred fifty-three thousand, one hundred four".