250649421201 has 27 divisors (see below), whose sum is σ = 370760252187. Its totient is φ = 163171522080.

The previous prime is 250649421199. The next prime is 250649421221. The reversal of 250649421201 is 102124946052.

It is a happy number.

The square root of 250649421201 is 500649.

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

250649421201 is a `hidden beast` number, since 2 + 5 + 0 + 649 + 4 + 2 + 1 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157965707601 + 92683713600 = 397449^2 + 304440^2 .

It is not a de Polignac number, because 250649421201 - 2¹ = 250649421199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (250649421221) 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, 64581781 + ... + 64585661.

Almost surely, 2^250649421201 is an apocalyptic number.

250649421201 is the 500649-th square number.

250649421201 is the 250325-th centered octagonal number.

It is an amenable number.

250649421201 is a deficient number, since it is larger than the sum of its proper divisors (120110830986).

250649421201 is an frugal number, since it uses more digits than its factorization.

250649421201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 250649421201 by its sum of digits (36), we get a square (9023379163236 = 3003894²).

The spelling of 250649421201 in words is "two hundred fifty billion, six hundred forty-nine million, four hundred twenty-one thousand, two hundred one".