61317833040 has 60 divisors (see below), whose sum is σ = 205925725044. Its totient is φ = 16351421952.

The previous prime is 61317832981. The next prime is 61317833077. The reversal of 61317833040 is 4033871316.

61317833040 is a `hidden beast` number, since 6 + 1 + 317 + 8 + 330 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15749246016 + 45568587024 = 125496^2 + 213468^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 61317832986 and 61317833004.

It is a congruent number.

It is an unprimeable number.

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, 42581109 + ... + 42582548.

Almost surely, 2^61317833040 is an apocalyptic number.

61317833040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61317833040 is an abundant number, since it is smaller than the sum of its proper divisors (144607892004).

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

61317833040 is a wasteful number, since it uses less digits than its factorization.

61317833040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85163676 (or 85163667 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 61317833040 in words is "sixty-one billion, three hundred seventeen million, eight hundred thirty-three thousand, forty".