5151828615696 has 225 divisors, whose sum is σ = 17347243131999. Its totient is φ = 1471787610048.

The previous prime is 5151828615679. The next prime is 5151828615737. The reversal of 5151828615696 is 6965168281515.

The square root of 5151828615696 is 2269764.

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

5151828615696 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 8 + 2 + 8 + 61 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 571976025 + ... + 571985031.

Almost surely, 2^{5151828615696} is an apocalyptic number.

5151828615696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5151828615696 is the 2269764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151828615696

5151828615696 is an abundant number, since it is smaller than the sum of its proper divisors (12195414516303).

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

5151828615696 is an frugal number, since it uses more digits than its factorization.

5151828615696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18048 (or 9019 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 63.

The spelling of 5151828615696 in words is "five trillion, one hundred fifty-one billion, eight hundred twenty-eight million, six hundred fifteen thousand, six hundred ninety-six".