7633416525 has 96 divisors (see below), whose sum is σ = 15221882880. Its totient is φ = 3299873280.

The previous prime is 7633416521. The next prime is 7633416529. The reversal of 7633416525 is 5256143367.

It is an interprime number because it is at equal distance from previous prime (7633416521) and next prime (7633416529).

It is not a de Polignac number, because 7633416525 - 2² = 7633416521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7633416521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1071124 + ... + 1078226.

It is an arithmetic number, because the mean of its divisors is an integer number (158561280).

Almost surely, 2^7633416525 is an apocalyptic number.

7633416525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7633416525 is a deficient number, since it is larger than the sum of its proper divisors (7588466355).

7633416525 is a wasteful number, since it uses less digits than its factorization.

7633416525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7235 (or 7230 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 7633416525 is about 87369.4255732519. The cubic root of 7633416525 is about 1968.9725138270.

The spelling of 7633416525 in words is "seven billion, six hundred thirty-three million, four hundred sixteen thousand, five hundred twenty-five".