527468112900 has 243 divisors, whose sum is σ = 1695674802549. Its totient is φ = 137143016640.

The previous prime is 527468112887. The next prime is 527468112937. The reversal of 527468112900 is 9211864725.

The square root of 527468112900 is 726270.

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

527468112900 is a `hidden beast` number, since 527 + 4 + 6 + 8 + 112 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 189888520644 + 337579592256 = 435762^2 + 581016^2 .

It is a super-2 number, since 2×527468112900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 936888019 + ... + 936888581.

Almost surely, 2^527468112900 is an apocalyptic number.

527468112900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

527468112900 is the 726270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527468112900

527468112900 is an abundant number, since it is smaller than the sum of its proper divisors (1168206689649).

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

527468112900 is a wasteful number, since it uses less digits than its factorization.

527468112900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 527468112900 in words is "five hundred twenty-seven billion, four hundred sixty-eight million, one hundred twelve thousand, nine hundred".