506516778 has 48 divisors (see below), whose sum is σ = 1117401480. Its totient is φ = 165791232.

The previous prime is 506516761. The next prime is 506516783. The reversal of 506516778 is 877615605.

It can be written as a sum of positive squares in 4 ways, for example, as 413837649 + 92679129 = 20343^2 + 9627^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352750 + ... + 354182.

Almost surely, 2^506516778 is an apocalyptic number.

506516778 is an abundant number, since it is smaller than the sum of its proper divisors (610884702).

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

506516778 is a wasteful number, since it uses less digits than its factorization.

506516778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1780 counting only the distinct ones).

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

The square root of 506516778 is about 22505.9276191851. The cubic root of 506516778 is about 797.1338993042.

The spelling of 506516778 in words is "five hundred six million, five hundred sixteen thousand, seven hundred seventy-eight".