2501225641 has 8 divisors (see below), whose sum is σ = 2569851080. Its totient is φ = 2432654208.

The previous prime is 2501225609. The next prime is 2501225681. The reversal of 2501225641 is 1465221052.

It can be written as a sum of positive squares in 4 ways, for example, as 1904449600 + 596776041 = 43640^2 + 24429^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2501225641 - 2⁵ = 2501225609 is a prime.

It is a super-3 number, since 3×2501225641³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2501225681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91405 + ... + 115573.

It is an arithmetic number, because the mean of its divisors is an integer number (321231385).

Almost surely, 2^2501225641 is an apocalyptic number.

It is an amenable number.

2501225641 is a deficient number, since it is larger than the sum of its proper divisors (68625439).

2501225641 is a wasteful number, since it uses less digits than its factorization.

2501225641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27003.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2501225641 is about 50012.2549081723. The cubic root of 2501225641 is about 1357.4305654969.

Adding to 2501225641 its reverse (1465221052), we get a palindrome (3966446693).

It can be divided in two parts, 25012 and 25641, that added together give a cube (50653 = 37³).

The spelling of 2501225641 in words is "two billion, five hundred one million, two hundred twenty-five thousand, six hundred forty-one".