506963142 has 48 divisors (see below), whose sum is σ = 1266888480. Its totient is φ = 143513856.

The previous prime is 506963141. The next prime is 506963147. The reversal of 506963142 is 241369605.

It is a happy number.

506963142 is a `hidden beast` number, since 506 + 9 + 6 + 3 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506963097 and 506963106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506963141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4723 + ... + 32190.

It is an arithmetic number, because the mean of its divisors is an integer number (26393510).

Almost surely, 2^506963142 is an apocalyptic number.

506963142 is an abundant number, since it is smaller than the sum of its proper divisors (759925338).

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

506963142 is a wasteful number, since it uses less digits than its factorization.

506963142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37037 (or 37034 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 506963142 is about 22515.8420228958. The cubic root of 506963142 is about 797.3679865866.

The spelling of 506963142 in words is "five hundred six million, nine hundred sixty-three thousand, one hundred forty-two".