513365152261 has 8 divisors (see below), whose sum is σ = 585375648984. Its totient is φ = 446000494080.

The previous prime is 513365152259. The next prime is 513365152273. The reversal of 513365152261 is 162251563315.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64907243361 + 448457908900 = 254769^2 + 669670^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513365152261 - 2¹ = 513365152259 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 (513365152291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1161459400 + ... + 1161459841.

It is an arithmetic number, because the mean of its divisors is an integer number (73171956123).

Almost surely, 2^513365152261 is an apocalyptic number.

It is an amenable number.

513365152261 is a deficient number, since it is larger than the sum of its proper divisors (72010496723).

513365152261 is a wasteful number, since it uses less digits than its factorization.

513365152261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322919271.

The product of its digits is 162000, while the sum is 40.

The spelling of 513365152261 in words is "five hundred thirteen billion, three hundred sixty-five million, one hundred fifty-two thousand, two hundred sixty-one".