655306440100 has 135 divisors (see below), whose sum is σ = 1543734888437. Its totient is φ = 241454166720.

The previous prime is 655306440059. The next prime is 655306440121. The reversal of 655306440100 is 1044603556.

The square root of 655306440100 is 809510.

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

655306440100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 642957007716 + 12349432384 = 801846^2 + 111128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1368071661 + ... + 1368072139.

Almost surely, 2^655306440100 is an apocalyptic number.

655306440100 is the 809510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655306440100

655306440100 is an abundant number, since it is smaller than the sum of its proper divisors (888428448337).

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

655306440100 is an frugal number, since it uses more digits than its factorization.

655306440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 655306440100 in words is "six hundred fifty-five billion, three hundred six million, four hundred forty thousand, one hundred".