61530503328 has 144 divisors (see below), whose sum is σ = 200060917056. Its totient is φ = 17572515840.

The previous prime is 61530503269. The next prime is 61530503351. The reversal of 61530503328 is 82330503516.

61530503328 is a `hidden beast` number, since 6 + 15 + 305 + 0 + 332 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61530503292 and 61530503301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5984400 + ... + 5994672.

It is an arithmetic number, because the mean of its divisors is an integer number (1389311924).

Almost surely, 2^61530503328 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 61530503328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100030458528).

61530503328 is an abundant number, since it is smaller than the sum of its proper divisors (138530413728).

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

61530503328 is a wasteful number, since it uses less digits than its factorization.

61530503328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13267 (or 13256 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 61530503328 in words is "sixty-one billion, five hundred thirty million, five hundred three thousand, three hundred twenty-eight".