521114425344 has 576 divisors, whose sum is σ = 1661340844800. Its totient is φ = 162827698176.

The previous prime is 521114425327. The next prime is 521114425357. The reversal of 521114425344 is 443524411125.

521114425344 is a `hidden beast` number, since 5 + 2 + 1 + 114 + 4 + 2 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 521114425299 and 521114425308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606651987 + ... + 606652845.

It is an arithmetic number, because the mean of its divisors is an integer number (2884272300).

Almost surely, 2^521114425344 is an apocalyptic number.

521114425344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521114425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830670422400).

521114425344 is an abundant number, since it is smaller than the sum of its proper divisors (1140226419456).

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

521114425344 is an equidigital number, since it uses as much as digits as its factorization.

521114425344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 940 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 521114425344 its reverse (443524411125), we get a palindrome (964638836469).

The spelling of 521114425344 in words is "five hundred twenty-one billion, one hundred fourteen million, four hundred twenty-five thousand, three hundred forty-four".