16010093961 has 45 divisors (see below), whose sum is σ = 25436668279. Its totient is φ = 10033402176.

The previous prime is 16010093909. The next prime is 16010094007. The reversal of 16010093961 is 16939001061.

The square root of 16010093961 is 126531.

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

16010093961 is a `hidden beast` number, since 160 + 100 + 9 + 396 + 1 = 666.

16010093961 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 only one way, i.e., 12464606025 + 3545487936 = 111645^2 + 59544^2 .

It is not a de Polignac number, because 16010093961 - 2¹¹ = 16010091913 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16010093461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19358830 + ... + 19359656.

Almost surely, 2^16010093961 is an apocalyptic number.

16010093961 is the 126531-st square number.

16010093961 is the 63266-th centered octagonal number.

It is an amenable number.

16010093961 is a deficient number, since it is larger than the sum of its proper divisors (9426574318).

16010093961 is an frugal number, since it uses more digits than its factorization.

16010093961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

Multiplying 16010093961 by its sum of digits (36), we get a square (576363382596 = 759186²).

The spelling of 16010093961 in words is "sixteen billion, ten million, ninety-three thousand, nine hundred sixty-one".