7111413225 has 192 divisors, whose sum is σ = 16018260480. Its totient is φ = 3056901120.

The previous prime is 7111413203. The next prime is 7111413227. The reversal of 7111413225 is 5223141117.

It is not a de Polignac number, because 7111413225 - 2¹⁰ = 7111412201 is a prime.

It is a super-3 number, since 3×7111413225³ (a number of 31 digits) contains 333 as substring.

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 (7111413227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6505779 + ... + 6506871.

It is an arithmetic number, because the mean of its divisors is an integer number (83428440).

Almost surely, 2^7111413225 is an apocalyptic number.

7111413225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7111413225 is an abundant number, since it is smaller than the sum of its proper divisors (8906847255).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7111413225 is a wasteful number, since it uses less digits than its factorization.

7111413225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1125 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 7111413225 is about 84329.1955671344. The cubic root of 7111413225 is about 1923.0266594175.

The spelling of 7111413225 in words is "seven billion, one hundred eleven million, four hundred thirteen thousand, two hundred twenty-five".