16952579257201 has 27 divisors (see below), whose sum is σ = 20021354475129. Its totient is φ = 14312274402888.

The previous prime is 16952579257189. The next prime is 16952579257259. The reversal of 16952579257201 is 10275297525961.

The square root of 16952579257201 is 4117351.

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

It is not a de Polignac number, because 16952579257201 - 2⁹ = 16952579256689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16952579257201.

It is not an unprimeable number, because it can be changed into a prime (16952579257261) 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, 1931033230 + ... + 1931042008.

It is an arithmetic number, because the mean of its divisors is an integer number (741531647227).

Almost surely, 2^{16952579257201} is an apocalyptic number.

16952579257201 is the 4117351-st square number.

16952579257201 is the 2058676-th centered octagonal number.

It is an amenable number.

16952579257201 is a deficient number, since it is larger than the sum of its proper divisors (3068775217928).

16952579257201 is an frugal number, since it uses more digits than its factorization.

16952579257201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17706 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 61.

The spelling of 16952579257201 in words is "sixteen trillion, nine hundred fifty-two billion, five hundred seventy-nine million, two hundred fifty-seven thousand, two hundred one".