514006532032 has 56 divisors (see below), whose sum is σ = 1203296430080. Its totient is φ = 213182426880.

The previous prime is 514006532029. The next prime is 514006532113. The reversal of 514006532032 is 230235600415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 514006531985 and 514006532003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18491532 + ... + 18519307.

Almost surely, 2^514006532032 is an apocalyptic number.

It is an amenable number.

514006532032 is an abundant number, since it is smaller than the sum of its proper divisors (689289898048).

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

514006532032 is a wasteful number, since it uses less digits than its factorization.

514006532032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37010889 (or 37010879 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 514006532032 in words is "five hundred fourteen billion, six million, five hundred thirty-two thousand, thirty-two".