562516164 has 120 divisors (see below), whose sum is σ = 1690476480. Its totient is φ = 159776064.

The previous prime is 562516139. The next prime is 562516193. The reversal of 562516164 is 461615265.

562516164 is a `hidden beast` number, since 5 + 625 + 16 + 16 + 4 = 666.

It is a super-2 number, since 2×562516164² = 632848869522549792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 446167 + ... + 447425.

It is an arithmetic number, because the mean of its divisors is an integer number (14087304).

Almost surely, 2^562516164 is an apocalyptic number.

562516164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562516164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845238240).

562516164 is an abundant number, since it is smaller than the sum of its proper divisors (1127960316).

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

562516164 is a wasteful number, since it uses less digits than its factorization.

562516164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1468 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 562516164 is about 23717.4232158555. The cubic root of 562516164 is about 825.4897191630.

The spelling of 562516164 in words is "five hundred sixty-two million, five hundred sixteen thousand, one hundred sixty-four".