5312077456 has 135 divisors (see below), whose sum is σ = 12728702889. Its totient is φ = 2141040384.

The previous prime is 5312077453. The next prime is 5312077501. The reversal of 5312077456 is 6547702135.

The square root of 5312077456 is 72884.

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

It can be written as a sum of positive squares in only one way, i.e., 3120339600 + 2191737856 = 55860^2 + 46816^2 .

It is not an unprimeable number, because it can be changed into a prime (5312077451) 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 26 ways as a sum of consecutive naturals, for example, 38774220 + ... + 38774356.

Almost surely, 2^5312077456 is an apocalyptic number.

5312077456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5312077456 is the 72884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5312077456

5312077456 is an abundant number, since it is smaller than the sum of its proper divisors (7416625433).

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

5312077456 is a wasteful number, since it uses less digits than its factorization.

5312077456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The cubic root of 5312077456 is about 1744.8367491769.

Multiplying 5312077456 by its product of nonzero digits (176400), we get a square (937050463238400 = 30611280²).

The spelling of 5312077456 in words is "five billion, three hundred twelve million, seventy-seven thousand, four hundred fifty-six".