61585083952 has 60 divisors (see below), whose sum is σ = 146107504920. Its totient is φ = 25004464128.

The previous prime is 61585083947. The next prime is 61585083953. The reversal of 61585083952 is 25938058516.

It is a super-4 number, since 4×61585083952⁴ (a number of 44 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61585083952.

It is not an unprimeable number, because it can be changed into a prime (61585083953) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2052273 + ... + 2082064.

It is an arithmetic number, because the mean of its divisors is an integer number (2435125082).

Almost surely, 2^61585083952 is an apocalyptic number.

It is an amenable number.

61585083952 is an abundant number, since it is smaller than the sum of its proper divisors (84522420968).

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

61585083952 is a wasteful number, since it uses less digits than its factorization.

61585083952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134378 (or 4134365 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 52.

The spelling of 61585083952 in words is "sixty-one billion, five hundred eighty-five million, eighty-three thousand, nine hundred fifty-two".