505972062 has 64 divisors (see below), whose sum is σ = 1159341120. Its totient is φ = 163468800.

The previous prime is 505972043. The next prime is 505972069. The reversal of 505972062 is 260279505.

505972062 is a `hidden beast` number, since 5 + 0 + 597 + 2 + 0 + 62 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505972069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382362 + ... + 383682.

It is an arithmetic number, because the mean of its divisors is an integer number (18114705).

Almost surely, 2^505972062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505972062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579670560).

505972062 is an abundant number, since it is smaller than the sum of its proper divisors (653369058).

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

505972062 is a wasteful number, since it uses less digits than its factorization.

505972062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 505972062 is about 22493.8227520357. The cubic root of 505972062 is about 796.8480467562.

The spelling of 505972062 in words is "five hundred five million, nine hundred seventy-two thousand, sixty-two".