5131203526656 has 405 divisors, whose sum is σ = 15791766874429. Its totient is φ = 1605150179328.

The previous prime is 5131203526649. The next prime is 5131203526663. The reversal of 5131203526656 is 6566253021315.

The square root of 5131203526656 is 2265216.

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

5131203526656 is a `hidden beast` number, since 5 + 131 + 203 + 5 + 266 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (5131203526649) and next prime (5131203526663).

It can be written as a sum of positive squares in only one way, i.e., 3994881638400 + 1136321888256 = 1998720^2 + 1065984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14787329875 + ... + 14787330221.

Almost surely, 2^{5131203526656} is an apocalyptic number.

5131203526656 is the 2265216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5131203526656

5131203526656 is an abundant number, since it is smaller than the sum of its proper divisors (10660563347773).

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

5131203526656 is an frugal number, since it uses more digits than its factorization.

5131203526656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 5131203526656 in words is "five trillion, one hundred thirty-one billion, two hundred three million, five hundred twenty-six thousand, six hundred fifty-six".