513525603420 has 36 divisors (see below), whose sum is σ = 1557694330920. Its totient is φ = 136940160864.

The previous prime is 513525603391. The next prime is 513525603449. The reversal of 513525603420 is 24306525315.

513525603420 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 2 + 5 + 603 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (513525603391) and next prime (513525603449).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1426459830 + ... + 1426460189.

It is an arithmetic number, because the mean of its divisors is an integer number (43269286970).

Almost surely, 2^513525603420 is an apocalyptic number.

It is an amenable number.

513525603420 is an abundant number, since it is smaller than the sum of its proper divisors (1044168727500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513525603420 is a wasteful number, since it uses less digits than its factorization.

513525603420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852920034 (or 2852920029 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 513525603420 in words is "five hundred thirteen billion, five hundred twenty-five million, six hundred three thousand, four hundred twenty".