5125279432464 has 135 divisors (see below), whose sum is σ = 14524951517557. Its totient is φ = 1687100464128.

The previous prime is 5125279432453. The next prime is 5125279432477. The reversal of 5125279432464 is 4642349725215.

The square root of 5125279432464 is 2263908.

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

5125279432464 is a `hidden beast` number, since 5 + 1 + 2 + 527 + 94 + 3 + 24 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4564290416400 + 560989016064 = 2136420^2 + 748992^2 .

It is a super-2 number, since 2×5125279432464² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5125279432464.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2254851232 + ... + 2254853504.

Almost surely, 2^{5125279432464} is an apocalyptic number.

5125279432464 is the 2263908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5125279432464

5125279432464 is an abundant number, since it is smaller than the sum of its proper divisors (9399672085093).

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

5125279432464 is an frugal number, since it uses more digits than its factorization.

5125279432464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 2361 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 5125279432464 in words is "five trillion, one hundred twenty-five billion, two hundred seventy-nine million, four hundred thirty-two thousand, four hundred sixty-four".