513021261 has 16 divisors (see below), whose sum is σ = 736778240. Its totient is φ = 316476720.

The previous prime is 513021251. The next prime is 513021323. The reversal of 513021261 is 162120315.

It is not a de Polignac number, because 513021261 - 2¹⁵ = 512988493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513021251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102205 + ... + 107106.

It is an arithmetic number, because the mean of its divisors is an integer number (46048640).

Almost surely, 2^513021261 is an apocalyptic number.

It is an amenable number.

513021261 is a deficient number, since it is larger than the sum of its proper divisors (223756979).

513021261 is a wasteful number, since it uses less digits than its factorization.

513021261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209376.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 513021261 is about 22649.9726489901. The cubic root of 513021261 is about 800.5315535062.

Adding to 513021261 its reverse (162120315), we get a palindrome (675141576).

The spelling of 513021261 in words is "five hundred thirteen million, twenty-one thousand, two hundred sixty-one".