523661967306 has 256 divisors, whose sum is σ = 1326624768000. Its totient is φ = 152240394240.

The previous prime is 523661967229. The next prime is 523661967347. The reversal of 523661967306 is 603769166325.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141184980 + ... + 141188688.

It is an arithmetic number, because the mean of its divisors is an integer number (5182128000).

Almost surely, 2^523661967306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523661967306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663312384000).

523661967306 is an abundant number, since it is smaller than the sum of its proper divisors (802962800694).

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

523661967306 is a wasteful number, since it uses less digits than its factorization.

523661967306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 523661967306 in words is "five hundred twenty-three billion, six hundred sixty-one million, nine hundred sixty-seven thousand, three hundred six".