534492588100 has 81 divisors (see below), whose sum is σ = 1201699512741. Its totient is φ = 206342841600.

The previous prime is 534492588079. The next prime is 534492588103. The reversal of 534492588100 is 1885294435.

The square root of 534492588100 is 731090.

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 530237374276 + 4255213824 = 728174^2 + 65232^2 .

It is a super-2 number, since 2×534492588100² (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 (534492588103) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 212014840 + ... + 212017360.

Almost surely, 2^534492588100 is an apocalyptic number.

534492588100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

534492588100 is the 731090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534492588100

534492588100 is an abundant number, since it is smaller than the sum of its proper divisors (667206924641).

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

534492588100 is an equidigital number, since it uses as much as digits as its factorization.

534492588100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 534492588100 by its sum of digits (49), we get a square (26190136816900 = 5117630²).

The spelling of 534492588100 in words is "five hundred thirty-four billion, four hundred ninety-two million, five hundred eighty-eight thousand, one hundred".