1253372409 has 9 divisors (see below), whose sum is σ = 1810580239. Its totient is φ = 835510800.

The previous prime is 1253372401. The next prime is 1253372441. The reversal of 1253372409 is 9042733521.

The square root of 1253372409 is 35403.

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

1253372409 is a `hidden beast` number, since 12 + 533 + 72 + 40 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 665794809 + 587577600 = 25803^2 + 24240^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1253372409 - 2³ = 1253372401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1253372401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100309 + ... + 112109.

Almost surely, 2^1253372409 is an apocalyptic number.

1253372409 is the 35403-rd square number.

1253372409 is the 17702-nd centered octagonal number.

It is an amenable number.

1253372409 is a deficient number, since it is larger than the sum of its proper divisors (557207830).

1253372409 is an frugal number, since it uses more digits than its factorization.

1253372409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23608 (or 11804 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 1253372409 is about 1078.1852264377.

Multiplying 1253372409 by its sum of digits (36), we get a square (45121406724 = 212418²).

The spelling of 1253372409 in words is "one billion, two hundred fifty-three million, three hundred seventy-two thousand, four hundred nine".