5151650625 has 225 divisors, whose sum is σ = 10947279343. Its totient is φ = 2411640000.

The previous prime is 5151650617. The next prime is 5151650627. The reversal of 5151650625 is 5260561515.

The square root of 5151650625 is 71775.

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

5151650625 is a `hidden beast` number, since 5 + 15 + 16 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3853057329 + 1298593296 = 62073^2 + 36036^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 5151650625 - 2³ = 5151650617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5151650625.

It is not an unprimeable number, because it can be changed into a prime (5151650627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 177643111 + ... + 177643139.

Almost surely, 2^5151650625 is an apocalyptic number.

5151650625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5151650625 is the 71775-th square number.

5151650625 is the 35888-th centered octagonal number.

It is an amenable number.

5151650625 is an abundant number, since it is smaller than the sum of its proper divisors (5795628718).

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

5151650625 is an equidigital number, since it uses as much as digits as its factorization.

5151650625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The cubic root of 5151650625 is about 1727.0919799010.

Multiplying 5151650625 by its sum of digits (36), we get a square (185459422500 = 430650²).

The spelling of 5151650625 in words is "five billion, one hundred fifty-one million, six hundred fifty thousand, six hundred twenty-five".