527671488100 has 81 divisors (see below), whose sum is σ = 1216649673057. Its totient is φ = 198606305280.

The previous prime is 527671488041. The next prime is 527671488101. The reversal of 527671488100 is 1884176725.

The square root of 527671488100 is 726410.

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

It can be written as a sum of positive squares in 13 ways, for example, as 308040540196 + 219630947904 = 555014^2 + 468648^2 .

It is a super-2 number, since 2×527671488100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (527671488101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123487564 + ... + 123491836.

Almost surely, 2^527671488100 is an apocalyptic number.

527671488100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

527671488100 is the 726410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527671488100

527671488100 is an abundant number, since it is smaller than the sum of its proper divisors (688978184957).

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

527671488100 is an equidigital number, since it uses as much as digits as its factorization.

527671488100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

Multiplying 527671488100 by its sum of digits (49), we get a square (25855902916900 = 5084870²).

The spelling of 527671488100 in words is "five hundred twenty-seven billion, six hundred seventy-one million, four hundred eighty-eight thousand, one hundred".