513525006450 has 72 divisors (see below), whose sum is σ = 1379902537728. Its totient is φ = 136916972640.

The previous prime is 513525006443. The next prime is 513525006487. The reversal of 513525006450 is 54600525315.

513525006450 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 2 + 5 + 0 + 0 + 645 + 0 = 666.

It is a super-4 number, since 4×513525006450⁴ (a number of 48 digits) contains 4444 as substring.

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 35 ways as a sum of consecutive naturals, for example, 2671467 + ... + 2857233.

It is an arithmetic number, because the mean of its divisors is an integer number (19165313024).

Almost surely, 2^513525006450 is an apocalyptic number.

513525006450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

513525006450 is an abundant number, since it is smaller than the sum of its proper divisors (866377531278).

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

513525006450 is a wasteful number, since it uses less digits than its factorization.

513525006450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191928 (or 191920 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 513525006450 in words is "five hundred thirteen billion, five hundred twenty-five million, six thousand, four hundred fifty".