61505010656 has 96 divisors (see below), whose sum is σ = 130365365760. Its totient is φ = 28471965696.

The previous prime is 61505010641. The next prime is 61505010667. The reversal of 61505010656 is 65601050516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27917651 + ... + 27919853.

It is an arithmetic number, because the mean of its divisors is an integer number (1357972560).

Almost surely, 2^61505010656 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 61505010656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65182682880).

61505010656 is an abundant number, since it is smaller than the sum of its proper divisors (68860355104).

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

61505010656 is a wasteful number, since it uses less digits than its factorization.

61505010656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 61505010656 in words is "sixty-one billion, five hundred five million, ten thousand, six hundred fifty-six".