61131079008 has 288 divisors, whose sum is σ = 187190613792. Its totient is φ = 18855936000.

The previous prime is 61131079001. The next prime is 61131079049. The reversal of 61131079008 is 80097013116.

61131079008 is a `hidden beast` number, since 611 + 31 + 0 + 7 + 9 + 0 + 0 + 8 = 666.

It is a Cunningham number, because it is equal to 247247²-1.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61131079001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89503435 + ... + 89504117.

It is an arithmetic number, because the mean of its divisors is an integer number (649967409).

Almost surely, 2^61131079008 is an apocalyptic number.

61131079008 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61131079008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93595306896).

61131079008 is an abundant number, since it is smaller than the sum of its proper divisors (126059534784).

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

61131079008 is a wasteful number, since it uses less digits than its factorization.

61131079008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 61131079008 in words is "sixty-one billion, one hundred thirty-one million, seventy-nine thousand, eight".