541092648100 has 81 divisors (see below), whose sum is σ = 1247591134083. Its totient is φ = 203658389760.

The previous prime is 541092648059. The next prime is 541092648157. The reversal of 541092648100 is 1846290145.

The square root of 541092648100 is 735590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12656700004 + 528435948096 = 112502^2 + 726936^2 .

It is a super-2 number, since 2×541092648100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125048137 + ... + 125052463.

Almost surely, 2^541092648100 is an apocalyptic number.

541092648100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

541092648100 is the 735590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541092648100

541092648100 is an abundant number, since it is smaller than the sum of its proper divisors (706498485983).

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

541092648100 is an equidigital number, since it uses as much as digits as its factorization.

541092648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8702 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 541092648100 in words is "five hundred forty-one billion, ninety-two million, six hundred forty-eight thousand, one hundred".