15683984010601 has 27 divisors (see below), whose sum is σ = 16488525773559. Its totient is φ = 14917471712352.

The previous prime is 15683984010599. The next prime is 15683984010781. The reversal of 15683984010601 is 10601048938651.

The square root of 15683984010601 is 3960301.

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

It can be written as a sum of positive squares in only one way, i.e., 3185100549225 + 12498883461376 = 1784685^2 + 3535376^2 .

It is not a de Polignac number, because 15683984010601 - 2¹ = 15683984010599 is a prime.

It is a super-3 number, since 3×15683984010601³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15683984013601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21223252690 + ... + 21223253428.

Almost surely, 2^{15683984010601} is an apocalyptic number.

15683984010601 is the 3960301-st square number.

15683984010601 is the 1980151-st centered octagonal number.

It is an amenable number.

15683984010601 is a deficient number, since it is larger than the sum of its proper divisors (804541762958).

15683984010601 is an frugal number, since it uses more digits than its factorization.

15683984010601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 15683984010601 in words is "fifteen trillion, six hundred eighty-three billion, nine hundred eighty-four million, ten thousand, six hundred one".