61505039232 has 1280 divisors, whose sum is σ = 245497190400. Its totient is φ = 14834368512.

The previous prime is 61505039203. The next prime is 61505039249. The reversal of 61505039232 is 23293050516.

61505039232 is a `hidden beast` number, since 61 + 5 + 0 + 503 + 92 + 3 + 2 = 666.

61505039232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 842534748 + ... + 842534820.

It is an arithmetic number, because the mean of its divisors is an integer number (191794680).

Almost surely, 2^61505039232 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 61505039232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122748595200).

61505039232 is an abundant number, since it is smaller than the sum of its proper divisors (183992151168).

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

61505039232 is a wasteful number, since it uses less digits than its factorization.

61505039232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 61505039232 its reverse (23293050516), we get a palindrome (84798089748).

The spelling of 61505039232 in words is "sixty-one billion, five hundred five million, thirty-nine thousand, two hundred thirty-two".