61501000 has 64 divisors (see below), whose sum is σ = 157023360. Its totient is φ = 22360000.

The previous prime is 61500983. The next prime is 61501009. The reversal of 61501000 is 10516.

61501000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61501009) 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 15 ways as a sum of consecutive naturals, for example, 8205 + ... + 13795.

It is an arithmetic number, because the mean of its divisors is an integer number (2453490).

Almost surely, 2^61501000 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 61501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78511680).

61501000 is an abundant number, since it is smaller than the sum of its proper divisors (95522360).

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

61501000 is a wasteful number, since it uses less digits than its factorization.

61501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 61501000 is about 7842.2573280912. The cubic root of 61501000 is about 394.7244780533.

Adding to 61501000 its reverse (10516), we get a palindrome (61511516).

The spelling of 61501000 in words is "sixty-one million, five hundred one thousand".