523050020352 has 320 divisors, whose sum is σ = 1641880627200. Its totient is φ = 163839836160.

The previous prime is 523050020333. The next prime is 523050020401. The reversal of 523050020352 is 253020050325.

523050020352 is a `hidden beast` number, since 5 + 2 + 305 + 0 + 0 + 2 + 0 + 352 = 666.

It is a super-2 number, since 2×523050020352² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201870577 + ... + 201873167.

It is an arithmetic number, because the mean of its divisors is an integer number (5130876960).

Almost surely, 2^523050020352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523050020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820940313600).

523050020352 is an abundant number, since it is smaller than the sum of its proper divisors (1118830606848).

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

523050020352 is a wasteful number, since it uses less digits than its factorization.

523050020352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

Adding to 523050020352 its reverse (253020050325), we get a palindrome (776070070677).

The spelling of 523050020352 in words is "five hundred twenty-three billion, fifty million, twenty thousand, three hundred fifty-two".