45825160251 has 8 divisors (see below), whose sum is σ = 65800230160. Its totient is φ = 28200098592.

The previous prime is 45825160217. The next prime is 45825160259. The reversal of 45825160251 is 15206152854.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 45825160251 - 2⁷ = 45825160123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 1175004109 = 45825160251 / (4 + 5 + 8 + 2 + 5 + 1 + 6 + 0 + 2 + 5 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45825160259) 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 7 ways as a sum of consecutive naturals, for example, 587502016 + ... + 587502093.

It is an arithmetic number, because the mean of its divisors is an integer number (8225028770).

Almost surely, 2^45825160251 is an apocalyptic number.

45825160251 is a deficient number, since it is larger than the sum of its proper divisors (19975069909).

45825160251 is a wasteful number, since it uses less digits than its factorization.

45825160251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175004125.

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 45825160251 in words is "forty-five billion, eight hundred twenty-five million, one hundred sixty thousand, two hundred fifty-one".