611052000 has 192 divisors, whose sum is σ = 2156341824. Its totient is φ = 150374400.

The previous prime is 611051983. The next prime is 611052019. The reversal of 611052000 is 250116.

611052000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 154042 + ... + 157958.

It is an arithmetic number, because the mean of its divisors is an integer number (11230947).

Almost surely, 2^611052000 is an apocalyptic number.

611052000 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 611052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078170912).

611052000 is an abundant number, since it is smaller than the sum of its proper divisors (1545289824).

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

611052000 is a wasteful number, since it uses less digits than its factorization.

611052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 611052000 is about 24719.4660136501. The cubic root of 611052000 is about 848.5798662401.

The spelling of 611052000 in words is "six hundred eleven million, fifty-two thousand".