7905225097 has 64 divisors (see below), whose sum is σ = 10973491200. Its totient is φ = 5502689280.

The previous prime is 7905225079. The next prime is 7905225149.

7905225097 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7905225097 - 2¹⁹ = 7904700809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7905225397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4183929 + ... + 4185817.

It is an arithmetic number, because the mean of its divisors is an integer number (171460800).

Almost surely, 2^7905225097 is an apocalyptic number.

7905225097 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

7905225097 is a deficient number, since it is larger than the sum of its proper divisors (3068266103).

7905225097 is a wasteful number, since it uses less digits than its factorization.

7905225097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086.

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 7905225097 is about 88911.3327815976. The cubic root of 7905225097 is about 1992.0706960315.

The spelling of 7905225097 in words is "seven billion, nine hundred five million, two hundred twenty-five thousand, ninety-seven".