513264781 has 2 divisors, whose sum is σ = 513264782. Its totient is φ = 513264780.

The previous prime is 513264767. The next prime is 513264793. The reversal of 513264781 is 187462315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259499881 + 253764900 = 16109^2 + 15930^2 .

It is a cyclic number.

It is not a de Polignac number, because 513264781 - 2¹³ = 513256589 is a prime.

It is a super-2 number, since 2×513264781² = 526881470829955922, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 513264781 parts by 32039 straight cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 513264781.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513264701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256632390 + 256632391.

It is an arithmetic number, because the mean of its divisors is an integer number (256632391).

Almost surely, 2^513264781 is an apocalyptic number.

513264781 is the 14329-th centered pentagonal number.

It is an amenable number.

513264781 is a deficient number, since it is larger than the sum of its proper divisors (1).

513264781 is an equidigital number, since it uses as much as digits as its factorization.

513264781 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 37.

The square root of 513264781 is about 22655.3477351375. The cubic root of 513264781 is about 800.6581984242.

The spelling of 513264781 in words is "five hundred thirteen million, two hundred sixty-four thousand, seven hundred eighty-one".