2505321441 has 48 divisors (see below), whose sum is σ = 4422962880. Its totient is φ = 1396664640.

The previous prime is 2505321373. The next prime is 2505321443. The reversal of 2505321441 is 1441235052.

It is not a de Polignac number, because 2505321441 - 2¹⁴ = 2505305057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2505321443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31150 + ... + 77336.

It is an arithmetic number, because the mean of its divisors is an integer number (92145060).

Almost surely, 2^2505321441 is an apocalyptic number.

2505321441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2505321441 is a deficient number, since it is larger than the sum of its proper divisors (1917641439).

2505321441 is a wasteful number, since it uses less digits than its factorization.

2505321441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46251 (or 46238 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2505321441 is about 50053.1861223639. The cubic root of 2505321441 is about 1358.1711000626.

Adding to 2505321441 its reverse (1441235052), we get a palindrome (3946556493).

The spelling of 2505321441 in words is "two billion, five hundred five million, three hundred twenty-one thousand, four hundred forty-one".