253300513 has 2 divisors, whose sum is σ = 253300514. Its totient is φ = 253300512.

The previous prime is 253300507. The next prime is 253300547. The reversal of 253300513 is 315003352.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189667984 + 63632529 = 13772^2 + 7977^2 .

It is a cyclic number.

It is not a de Polignac number, because 253300513 - 2¹³ = 253292321 is a prime.

It is a super-2 number, since 2×253300513² = 128322299772126338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (253300013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126650256 + 126650257.

It is an arithmetic number, because the mean of its divisors is an integer number (126650257).

Almost surely, 2^253300513 is an apocalyptic number.

It is an amenable number.

253300513 is a deficient number, since it is larger than the sum of its proper divisors (1).

253300513 is an equidigital number, since it uses as much as digits as its factorization.

253300513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 253300513 is about 15915.4174623225. The cubic root of 253300513 is about 632.7206710216.

Adding to 253300513 its reverse (315003352), we get a palindrome (568303865).

The spelling of 253300513 in words is "two hundred fifty-three million, three hundred thousand, five hundred thirteen".