610513 has 4 divisors (see below), whose sum is σ = 614068. Its totient is φ = 606960.

The previous prime is 610501. The next prime is 610523. The reversal of 610513 is 315016.

610513 = 552² + 553².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 305809 + 304704 = 553^2 + 552^2 .

It is a cyclic number.

It is not a de Polignac number, because 610513 - 2¹³ = 602321 is a prime.

It is a super-2 number, since 2×610513² = 745452246338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (610523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1506 + ... + 1867.

It is an arithmetic number, because the mean of its divisors is an integer number (153517).

2⁶¹⁰⁵¹³ is an apocalyptic number.

610513 is the 553-rd centered square number.

It is an amenable number.

610513 is a deficient number, since it is larger than the sum of its proper divisors (3555).

610513 is a wasteful number, since it uses less digits than its factorization.

610513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 610513 is about 781.3533131689. The cubic root of 610513 is about 84.8330286227.

Adding to 610513 its reverse (315016), we get a palindrome (925529).

The spelling of 610513 in words is "six hundred ten thousand, five hundred thirteen".