651649333504 has 81 divisors (see below), whose sum is σ = 1408870879059. Its totient is φ = 300683735040.

The previous prime is 651649333501. The next prime is 651649333519. The reversal of 651649333504 is 405333946156.

It is a happy number.

The square root of 651649333504 is 807248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 42700089600 + 608949243904 = 206640^2 + 780352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (651649333501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 167905644 + ... + 167909524.

Almost surely, 2^651649333504 is an apocalyptic number.

651649333504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

651649333504 is the 807248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 651649333504

651649333504 is an abundant number, since it is smaller than the sum of its proper divisors (757221545555).

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

651649333504 is an frugal number, since it uses more digits than its factorization.

651649333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 49.

Multiplying 651649333504 by its sum of digits (49), we get a square (31930817341696 = 5650736²).

The spelling of 651649333504 in words is "six hundred fifty-one billion, six hundred forty-nine million, three hundred thirty-three thousand, five hundred four".