61281563000 has 128 divisors (see below), whose sum is σ = 164592155520. Its totient is φ = 20920089600.

The previous prime is 61281562987. The next prime is 61281563017. The reversal of 61281563000 is 36518216.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1612214 + ... + 1649786.

It is an arithmetic number, because the mean of its divisors is an integer number (1285876215).

Almost surely, 2^61281563000 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 61281563000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82296077760).

61281563000 is an abundant number, since it is smaller than the sum of its proper divisors (103310592520).

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

61281563000 is a wasteful number, since it uses less digits than its factorization.

61281563000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37834 (or 37820 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 61281563000 in words is "sixty-one billion, two hundred eighty-one million, five hundred sixty-three thousand".