513141731 has 2 divisors, whose sum is σ = 513141732. Its totient is φ = 513141730.

The previous prime is 513141709. The next prime is 513141749. The reversal of 513141731 is 137141315.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513141731 is a prime.

It is a super-2 number, since 2×513141731² = 526628872187352722, which contains 22 as substring.

It is equal to p_27010718 and since 513141731 and 27010718 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513141731.

It is not a weakly prime, because it can be changed into another prime (513161731) 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 as a sum of consecutive naturals, namely, 256570865 + 256570866.

It is an arithmetic number, because the mean of its divisors is an integer number (256570866).

Almost surely, 2^513141731 is an apocalyptic number.

513141731 is a deficient number, since it is larger than the sum of its proper divisors (1).

513141731 is an equidigital number, since it uses as much as digits as its factorization.

513141731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 26.

The square root of 513141731 is about 22652.6318779960. The cubic root of 513141731 is about 800.5942100962.

The spelling of 513141731 in words is "five hundred thirteen million, one hundred forty-one thousand, seven hundred thirty-one".