506220962526 has 256 divisors, whose sum is σ = 1287031680000. Its totient is φ = 146516262912.

The previous prime is 506220962461. The next prime is 506220962557. The reversal of 506220962526 is 625269022605.

506220962526 is a `hidden beast` number, since 5 + 0 + 62 + 2 + 0 + 9 + 62 + 526 = 666.

It is a congruent number.

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, 112167246 + ... + 112171758.

It is an arithmetic number, because the mean of its divisors is an integer number (5027467500).

Almost surely, 2^506220962526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506220962526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643515840000).

506220962526 is an abundant number, since it is smaller than the sum of its proper divisors (780810717474).

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

506220962526 is a wasteful number, since it uses less digits than its factorization.

506220962526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 506220962526 in words is "five hundred six billion, two hundred twenty million, nine hundred sixty-two thousand, five hundred twenty-six".