561082617150 has 192 divisors, whose sum is σ = 1534496071680. Its totient is φ = 134543548800.

The previous prime is 561082617119. The next prime is 561082617191. The reversal of 561082617150 is 51716280165.

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 95 ways as a sum of consecutive naturals, for example, 224162799 + ... + 224165301.

It is an arithmetic number, because the mean of its divisors is an integer number (7992167040).

Almost surely, 2^561082617150 is an apocalyptic number.

561082617150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 561082617150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767248035840).

561082617150 is an abundant number, since it is smaller than the sum of its proper divisors (973413454530).

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

561082617150 is a wasteful number, since it uses less digits than its factorization.

561082617150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 561082617150 in words is "five hundred sixty-one billion, eighty-two million, six hundred seventeen thousand, one hundred fifty".