16061760225 has 243 divisors, whose sum is σ = 36057371961. Its totient is φ = 6813273600.

The previous prime is 16061760203. The next prime is 16061760227. The reversal of 16061760225 is 52206716061.

It is a happy number.

The square root of 16061760225 is 126735.

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

16061760225 is a `hidden beast` number, since 16 + 0 + 6 + 17 + 602 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 375700689 + 15686059536 = 19383^2 + 125244^2 .

It is not a de Polignac number, because 16061760225 - 2⁹ = 16061759713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16061760225.

It is not an unprimeable number, because it can be changed into a prime (16061760227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 226221940 + ... + 226222010.

Almost surely, 2^16061760225 is an apocalyptic number.

16061760225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16061760225 is the 126735-th square number.

16061760225 is the 63368-th centered octagonal number.

It is an amenable number.

16061760225 is an abundant number, since it is smaller than the sum of its proper divisors (19995611736).

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

16061760225 is a wasteful number, since it uses less digits than its factorization.

16061760225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 16061760225 by its sum of digits (36), we get a square (578223368100 = 760410²).

The spelling of 16061760225 in words is "sixteen billion, sixty-one million, seven hundred sixty thousand, two hundred twenty-five".