61085052 has 72 divisors (see below), whose sum is σ = 177422336. Its totient is φ = 17358624.

The previous prime is 61085051. The next prime is 61085099. The reversal of 61085052 is 25058016.

61085052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61085051) 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 23 ways as a sum of consecutive naturals, for example, 55653 + ... + 56739.

Almost surely, 2^61085052 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 61085052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88711168).

61085052 is an abundant number, since it is smaller than the sum of its proper divisors (116337284).

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

61085052 is a wasteful number, since it uses less digits than its factorization.

61085052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 61085052 is about 7815.6926756366. The cubic root of 61085052 is about 393.8325879672.

The spelling of 61085052 in words is "sixty-one million, eighty-five thousand, fifty-two".