513454531461 has 32 divisors (see below), whose sum is σ = 739923320448. Its totient is φ = 315525642240.

The previous prime is 513454531441. The next prime is 513454531481. The reversal of 513454531461 is 164135454315.

It is an interprime number because it is at equal distance from previous prime (513454531441) and next prime (513454531481).

It is not a de Polignac number, because 513454531461 - 2⁹ = 513454530949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513454531441) 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 31 ways as a sum of consecutive naturals, for example, 370690 + ... + 1079036.

It is an arithmetic number, because the mean of its divisors is an integer number (23122603764).

Almost surely, 2^513454531461 is an apocalyptic number.

513454531461 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

513454531461 is a deficient number, since it is larger than the sum of its proper divisors (226468788987).

513454531461 is a wasteful number, since it uses less digits than its factorization.

513454531461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708661.

The product of its digits is 432000, while the sum is 42.

Adding to 513454531461 its reverse (164135454315), we get a palindrome (677589985776).

The spelling of 513454531461 in words is "five hundred thirteen billion, four hundred fifty-four million, five hundred thirty-one thousand, four hundred sixty-one".