7261225167 has 64 divisors (see below), whose sum is σ = 11496038400. Its totient is φ = 3991532160.

The previous prime is 7261225163. The next prime is 7261225171. The reversal of 7261225167 is 7615221627.

It is an interprime number because it is at equal distance from previous prime (7261225163) and next prime (7261225171).

It is not a de Polignac number, because 7261225167 - 2² = 7261225163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7261225163) 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, 17329684 + ... + 17330102.

It is an arithmetic number, because the mean of its divisors is an integer number (179625600).

Almost surely, 2^7261225167 is an apocalyptic number.

7261225167 is a deficient number, since it is larger than the sum of its proper divisors (4234813233).

7261225167 is a wasteful number, since it uses less digits than its factorization.

7261225167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756.

The product of its digits is 70560, while the sum is 39.

The square root of 7261225167 is about 85212.8227850715. The cubic root of 7261225167 is about 1936.4366842410.

It can be divided in two parts, 72612 and 25167, that added together give a palindrome (97779).

The spelling of 7261225167 in words is "seven billion, two hundred sixty-one million, two hundred twenty-five thousand, one hundred sixty-seven".