513562305132 has 144 divisors (see below), whose sum is σ = 1419250839552. Its totient is φ = 162140019840.

The previous prime is 513562305059. The next prime is 513562305169. The reversal of 513562305132 is 231503265315.

513562305132 is a `hidden beast` number, since 5 + 13 + 5 + 623 + 0 + 5 + 13 + 2 = 666.

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

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, 1234888 + ... + 1597520.

It is an arithmetic number, because the mean of its divisors is an integer number (9855908608).

Almost surely, 2^513562305132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513562305132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709625419776).

513562305132 is an abundant number, since it is smaller than the sum of its proper divisors (905688534420).

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

513562305132 is a wasteful number, since it uses less digits than its factorization.

513562305132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362730 (or 362716 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 513562305132 in words is "five hundred thirteen billion, five hundred sixty-two million, three hundred five thousand, one hundred thirty-two".