253200393 has 12 divisors (see below), whose sum is σ = 366540148. Its totient is φ = 168428160.

The previous prime is 253200391. The next prime is 253200457. The reversal of 253200393 is 393002352.

253200393 is a `hidden beast` number, since 253 + 20 + 0 + 393 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219988224 + 33212169 = 14832^2 + 5763^2 .

It is not a de Polignac number, because 253200393 - 2¹ = 253200391 is a prime.

It is a super-2 number, since 2×253200393² = 128220878030708898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253200391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26668 + ... + 34893.

Almost surely, 2^253200393 is an apocalyptic number.

It is an amenable number.

253200393 is a deficient number, since it is larger than the sum of its proper divisors (113339755).

253200393 is a wasteful number, since it uses less digits than its factorization.

253200393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62024 (or 62021 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 253200393 is about 15912.2717736972. The cubic root of 253200393 is about 632.6372966125.

The spelling of 253200393 in words is "two hundred fifty-three million, two hundred thousand, three hundred ninety-three".