61580512 has 48 divisors (see below), whose sum is σ = 139097952. Its totient is φ = 26288640.

The previous prime is 61580509. The next prime is 61580513. The reversal of 61580512 is 21508516.

61580512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×61580512³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61580513) 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 7 ways as a sum of consecutive naturals, for example, 93978 + ... + 94630.

It is an arithmetic number, because the mean of its divisors is an integer number (2897874).

Almost surely, 2^61580512 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 61580512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69548976).

61580512 is an abundant number, since it is smaller than the sum of its proper divisors (77517440).

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

61580512 is a wasteful number, since it uses less digits than its factorization.

61580512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 61580512 is about 7847.3251493741. The cubic root of 61580512 is about 394.8945122360.

The spelling of 61580512 in words is "sixty-one million, five hundred eighty thousand, five hundred twelve".