61125600 has 72 divisors (see below), whose sum is σ = 198971640. Its totient is φ = 16299520.

The previous prime is 61125587. The next prime is 61125607. The reversal of 61125600 is 652116.

It is a happy number.

61125600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61125607) 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 11 ways as a sum of consecutive naturals, for example, 10335 + ... + 15134.

It is an arithmetic number, because the mean of its divisors is an integer number (2763495).

Almost surely, 2^61125600 is an apocalyptic number.

61125600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61125600 is an abundant number, since it is smaller than the sum of its proper divisors (137846040).

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

61125600 is a wasteful number, since it uses less digits than its factorization.

61125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25492 (or 25479 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 61125600 is about 7818.2862572305. The cubic root of 61125600 is about 393.9197101635.

Adding to 61125600 its reverse (652116), we get a palindrome (61777716).

The spelling of 61125600 in words is "sixty-one million, one hundred twenty-five thousand, six hundred".