1253089201 has 27 divisors (see below), whose sum is σ = 1582497441. Its totient is φ = 988906464.

The previous prime is 1253089183. The next prime is 1253089213. The reversal of 1253089201 is 1029803521.

The square root of 1253089201 is 35399.

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

It can be written as a sum of positive squares in 4 ways, for example, as 481583025 + 771506176 = 21945^2 + 27776^2 .

It is not a de Polignac number, because 1253089201 - 2⁵ = 1253089169 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1253089241) 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, 3221115 + ... + 3221503.

Almost surely, 2^1253089201 is an apocalyptic number.

1253089201 is the 35399-th square number.

1253089201 is the 17700-th centered octagonal number.

It is an amenable number.

1253089201 is a deficient number, since it is larger than the sum of its proper divisors (329408240).

1253089201 is an frugal number, since it uses more digits than its factorization.

1253089201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The cubic root of 1253089201 is about 1078.1040125646.

The spelling of 1253089201 in words is "one billion, two hundred fifty-three million, eighty-nine thousand, two hundred one".