210045306249 has 15 divisors (see below), whose sum is σ = 313777545213. Its totient is φ = 140027454324.

The previous prime is 210045306227. The next prime is 210045306281. The reversal of 210045306249 is 942603540012.

It is a happy number.

The square root of 210045306249 is 458307.

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

210045306249 is a `hidden beast` number, since 2 + 100 + 4 + 5 + 306 + 249 = 666.

It is not a de Polignac number, because 210045306249 - 2⁵ = 210045306217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210045302249) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4099302 + ... + 4150224.

Almost surely, 2^210045306249 is an apocalyptic number.

210045306249 is the 458307-th square number.

210045306249 is the 229154-th centered octagonal number.

It is an amenable number.

210045306249 is a deficient number, since it is larger than the sum of its proper divisors (103732238964).

210045306249 is an frugal number, since it uses more digits than its factorization.

210045306249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101858 (or 50926 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 210045306249 by its sum of digits (36), we get a square (7561631024964 = 2749842²).

The spelling of 210045306249 in words is "two hundred ten billion, forty-five million, three hundred six thousand, two hundred forty-nine".