61113000 has 128 divisors (see below), whose sum is σ = 205470720. Its totient is φ = 15033600.

The previous prime is 61112993. The next prime is 61113023. The reversal of 61113000 is 31116.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 38217 + ... + 39783.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^61113000 is an apocalyptic number.

61113000 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 61113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102735360).

61113000 is an abundant number, since it is smaller than the sum of its proper divisors (144357720).

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

61113000 is a wasteful number, since it uses less digits than its factorization.

61113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 61113000 is about 7817.4804125114. The cubic root of 61113000 is about 393.8926416934.

Adding to 61113000 its reverse (31116), we get a palindrome (61144116).

The spelling of 61113000 in words is "sixty-one million, one hundred thirteen thousand".