507820297050 has 768 divisors, whose sum is σ = 1656305418240. Its totient is φ = 113164128000.

The previous prime is 507820297021. The next prime is 507820297063. The reversal of 507820297050 is 50792028705.

It is a happy number.

507820297050 is a `hidden beast` number, since 507 + 8 + 2 + 0 + 2 + 97 + 0 + 50 = 666.

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 = 507820296987 and 507820297005.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1042751907 + ... + 1042752393.

It is an arithmetic number, because the mean of its divisors is an integer number (2156647680).

Almost surely, 2^507820297050 is an apocalyptic number.

507820297050 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 507820297050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828152709120).

507820297050 is an abundant number, since it is smaller than the sum of its proper divisors (1148485121190).

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

507820297050 is a wasteful number, since it uses less digits than its factorization.

507820297050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 507820297050 in words is "five hundred seven billion, eight hundred twenty million, two hundred ninety-seven thousand, fifty".