563777536 has 117 divisors (see below), whose sum is σ = 1336697481. Its totient is φ = 237060096.

The previous prime is 563777521. The next prime is 563777551. The reversal of 563777536 is 635777365.

The square root of 563777536 is 23744.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (563777521) and next prime (563777551).

It can be written as a sum of positive squares in only one way, i.e., 406425600 + 157351936 = 20160^2 + 12544^2 .

It is a super-2 number, since 2×563777536² = 635690220196462592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 563777536.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10637286 + ... + 10637338.

Almost surely, 2^563777536 is an apocalyptic number.

563777536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

563777536 is the 23744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563777536

563777536 is an abundant number, since it is smaller than the sum of its proper divisors (772919945).

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

563777536 is an frugal number, since it uses more digits than its factorization.

563777536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 62 counting only the distinct ones).

The product of its digits is 2778300, while the sum is 49.

The cubic root of 563777536 is about 826.1062776208.

Multiplying 563777536 by its sum of digits (49), we get a square (27625099264 = 166208²).

563777536 divided by its sum of digits (49) gives a square (11505664 = 3392²).

The spelling of 563777536 in words is "five hundred sixty-three million, seven hundred seventy-seven thousand, five hundred thirty-six".