513453513122121 has 128 divisors (see below), whose sum is σ = 856794732466176. Its totient is φ = 268701735444480.

The previous prime is 513453513122107. The next prime is 513453513122131. The reversal of 513453513122121 is 121221315354315.

It is not a de Polignac number, because 513453513122121 - 2¹⁰ = 513453513121097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 513453513122121.

It is not an unprimeable number, because it can be changed into a prime (513453513122131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15464053306 + ... + 15464086508.

It is an arithmetic number, because the mean of its divisors is an integer number (6693708847392).

Almost surely, 2^{513453513122121} is an apocalyptic number.

513453513122121 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

513453513122121 is a deficient number, since it is larger than the sum of its proper divisors (343341219344055).

513453513122121 is a wasteful number, since it uses less digits than its factorization.

513453513122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46111.

The product of its digits is 108000, while the sum is 39.

Adding to 513453513122121 its reverse (121221315354315), we get a palindrome (634674828476436).

The spelling of 513453513122121 in words is "five hundred thirteen trillion, four hundred fifty-three billion, five hundred thirteen million, one hundred twenty-two thousand, one hundred twenty-one".