7253113527 has 72 divisors (see below), whose sum is σ = 11994418800. Its totient is φ = 4215214080.

The previous prime is 7253113499. The next prime is 7253113577.

It is a happy number.

7253113527 is a `hidden beast` number, since 72 + 53 + 1 + 13 + 527 = 666.

7253113527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7253113527 - 2¹⁵ = 7253080759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7253113491 and 7253113500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7253113577) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5146999 + ... + 5148407.

It is an arithmetic number, because the mean of its divisors is an integer number (166589150).

Almost surely, 2^7253113527 is an apocalyptic number.

7253113527 is a deficient number, since it is larger than the sum of its proper divisors (4741305273).

7253113527 is a wasteful number, since it uses less digits than its factorization.

7253113527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1615 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 7253113527 is about 85165.2131271918. The cubic root of 7253113527 is about 1935.7153399480.

The spelling of 7253113527 in words is "seven billion, two hundred fifty-three million, one hundred thirteen thousand, five hundred twenty-seven".