505951056 has 160 divisors (see below), whose sum is σ = 1632395520. Its totient is φ = 148870656.

The previous prime is 505951037. The next prime is 505951073. The reversal of 505951056 is 650159505.

505951056 is a `hidden beast` number, since 5 + 0 + 595 + 10 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505951056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127210 + ... + 131126.

It is an arithmetic number, because the mean of its divisors is an integer number (10202472).

Almost surely, 2^505951056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505951056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816197760).

505951056 is an abundant number, since it is smaller than the sum of its proper divisors (1126444464).

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

505951056 is a wasteful number, since it uses less digits than its factorization.

505951056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The square root of 505951056 is about 22493.3558189969. The cubic root of 505951056 is about 796.8370192555.

The spelling of 505951056 in words is "five hundred five million, nine hundred fifty-one thousand, fifty-six".