1465225641 has 72 divisors (see below), whose sum is σ = 2502208800. Its totient is φ = 817102080.

The previous prime is 1465225637. The next prime is 1465225691.

1465225641 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 2 + 2 + 5 + 641 = 666.

1465225641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1465225641 - 2² = 1465225637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1465225596 and 1465225605.

It is not an unprimeable number, because it can be changed into a prime (1465225691) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2574805 + ... + 2575373.

It is an arithmetic number, because the mean of its divisors is an integer number (34752900).

Almost surely, 2^1465225641 is an apocalyptic number.

1465225641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1465225641 is a deficient number, since it is larger than the sum of its proper divisors (1036983159).

1465225641 is a wasteful number, since it uses less digits than its factorization.

1465225641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 639 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1465225641 is about 38278.2659089985. The cubic root of 1465225641 is about 1135.7990559181.

The spelling of 1465225641 in words is "one billion, four hundred sixty-five million, two hundred twenty-five thousand, six hundred forty-one".