513540062532 has 60 divisors (see below), whose sum is σ = 1534280193600. Its totient is φ = 146725731504.

The previous prime is 513540062501. The next prime is 513540062533. The reversal of 513540062532 is 235260045315.

513540062532 is a `hidden beast` number, since 5 + 1 + 3 + 540 + 0 + 62 + 53 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (513540062533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113212032 + ... + 113216567.

It is an arithmetic number, because the mean of its divisors is an integer number (25571336560).

Almost surely, 2^513540062532 is an apocalyptic number.

It is an amenable number.

513540062532 is an abundant number, since it is smaller than the sum of its proper divisors (1020740131068).

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

513540062532 is a wasteful number, since it uses less digits than its factorization.

513540062532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226428622 (or 226428611 counting only the distinct ones).

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

The spelling of 513540062532 in words is "five hundred thirteen billion, five hundred forty million, sixty-two thousand, five hundred thirty-two".