253361000 has 32 divisors (see below), whose sum is σ = 592867080. Its totient is φ = 101344000.

The previous prime is 253360967. The next prime is 253361039. The reversal of 253361000 is 163352.

It can be written as a sum of positive squares in 4 ways, for example, as 42588676 + 210772324 = 6526^2 + 14518^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125681 + ... + 127680.

Almost surely, 2^253361000 is an apocalyptic number.

253361000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253361000 is an abundant number, since it is smaller than the sum of its proper divisors (339506080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253361000 is a wasteful number, since it uses less digits than its factorization.

253361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253382 (or 253368 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 253361000 is about 15917.3176132161. The cubic root of 253361000 is about 632.7710306107.

The spelling of 253361000 in words is "two hundred fifty-three million, three hundred sixty-one thousand".