513552545064 has 192 divisors, whose sum is σ = 1560014683200. Its totient is φ = 156450528000.

The previous prime is 513552545003. The next prime is 513552545101. The reversal of 513552545064 is 460545255315.

513552545064 is a `hidden beast` number, since 5 + 13 + 5 + 525 + 4 + 50 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3617259 + ... + 3756549.

It is an arithmetic number, because the mean of its divisors is an integer number (8125076475).

Almost surely, 2^513552545064 is an apocalyptic number.

513552545064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513552545064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780007341600).

513552545064 is an abundant number, since it is smaller than the sum of its proper divisors (1046462138136).

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

513552545064 is a wasteful number, since it uses less digits than its factorization.

513552545064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139433 (or 139410 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 513552545064 in words is "five hundred thirteen billion, five hundred fifty-two million, five hundred forty-five thousand, sixty-four".