510633041561261 has 2 divisors, whose sum is σ = 510633041561262. Its totient is φ = 510633041561260.

The previous prime is 510633041561189. The next prime is 510633041561263. The reversal of 510633041561261 is 162165140336015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 399820260196036 + 110812781365225 = 19995506^2 + 10526765^2 .

It is a cyclic number.

It is not a de Polignac number, because 510633041561261 - 2³⁰ = 510631967819437 is a prime.

It is a super-2 number, since 2×510633041561261² (a number of 30 digits) contains 22 as substring.

Together with 510633041561263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (510633041561263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255316520780630 + 255316520780631.

It is an arithmetic number, because the mean of its divisors is an integer number (255316520780631).

Almost surely, 2^{510633041561261} is an apocalyptic number.

It is an amenable number.

510633041561261 is a deficient number, since it is larger than the sum of its proper divisors (1).

510633041561261 is an equidigital number, since it uses as much as digits as its factorization.

510633041561261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 388800, while the sum is 44.

Adding to 510633041561261 its reverse (162165140336015), we get a palindrome (672798181897276).

The spelling of 510633041561261 in words is "five hundred ten trillion, six hundred thirty-three billion, forty-one million, five hundred sixty-one thousand, two hundred sixty-one".