513436632072 has 128 divisors (see below), whose sum is σ = 1609613026560. Its totient is φ = 132856888320.

The previous prime is 513436632041. The next prime is 513436632089. The reversal of 513436632072 is 270236634315.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102079 + ... + 2333582.

It is an arithmetic number, because the mean of its divisors is an integer number (12575101770).

Almost surely, 2^513436632072 is an apocalyptic number.

513436632072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

513436632072 is an abundant number, since it is smaller than the sum of its proper divisors (1096176394488).

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

513436632072 is a wasteful number, since it uses less digits than its factorization.

513436632072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435743 (or 4435739 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 513436632072 in words is "five hundred thirteen billion, four hundred thirty-six million, six hundred thirty-two thousand, seventy-two".