262513 has 2 divisors, whose sum is σ = 262514. Its totient is φ = 262512.

The previous prime is 262511. The next prime is 262519. The reversal of 262513 is 315262.

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., 242064 + 20449 = 492^2 + 143^2 .

It is a cyclic number.

It is not a de Polignac number, because 262513 - 2¹ = 262511 is a prime.

Together with 262511, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 2⁸ + 6 + 5² + 2¹⁸ + 1 + 3⁴ .

It is not a weakly prime, because it can be changed into another prime (262511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131256 + 131257.

It is an arithmetic number, because the mean of its divisors is an integer number (131257).

2²⁶²⁵¹³ is an apocalyptic number.

It is an amenable number.

262513 is a deficient number, since it is larger than the sum of its proper divisors (1).

262513 is an equidigital number, since it uses as much as digits as its factorization.

262513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 19.

The square root of 262513 is about 512.3602248419. The cubic root of 262513 is about 64.0300152179.

Adding to 262513 its reverse (315262), we get a palindrome (577775).

The spelling of 262513 in words is "two hundred sixty-two thousand, five hundred thirteen".