513546152101 has 2 divisors, whose sum is σ = 513546152102. Its totient is φ = 513546152100.

The previous prime is 513546152057. The next prime is 513546152113. The reversal of 513546152101 is 101251645315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503546352100 + 9999800001 = 709610^2 + 99999^2 .

It is a cyclic number.

It is not a de Polignac number, because 513546152101 - 2¹⁷ = 513546021029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513546150101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256773076050 + 256773076051.

It is an arithmetic number, because the mean of its divisors is an integer number (256773076051).

Almost surely, 2^513546152101 is an apocalyptic number.

It is an amenable number.

513546152101 is a deficient number, since it is larger than the sum of its proper divisors (1).

513546152101 is an equidigital number, since it uses as much as digits as its factorization.

513546152101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 34.

Adding to 513546152101 its reverse (101251645315), we get a palindrome (614797797416).

The spelling of 513546152101 in words is "five hundred thirteen billion, five hundred forty-six million, one hundred fifty-two thousand, one hundred one".