520763138550 has 240 divisors, whose sum is σ = 1474929629712. Its totient is φ = 136210636800.

The previous prime is 520763138543. The next prime is 520763138561. The reversal of 520763138550 is 55831367025.

520763138550 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 63 + 1 + 38 + 550 = 666.

It is a super-2 number, since 2×520763138550² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 520763138496 and 520763138505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44386185 + ... + 44397915.

Almost surely, 2^520763138550 is an apocalyptic number.

520763138550 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 520763138550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737464814856).

520763138550 is an abundant number, since it is smaller than the sum of its proper divisors (954166491162).

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

520763138550 is a wasteful number, since it uses less digits than its factorization.

520763138550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 520763138550 in words is "five hundred twenty billion, seven hundred sixty-three million, one hundred thirty-eight thousand, five hundred fifty".