4967007529 has 27 divisors (see below), whose sum is σ = 5627288919. Its totient is φ = 4380850320.

The previous prime is 4967007523. The next prime is 4967007599. The reversal of 4967007529 is 9257007694.

The square root of 4967007529 is 70477.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 581919129 + 4385088400 = 24123^2 + 66220^2 .

It is not a de Polignac number, because 4967007529 - 2⁷ = 4967007401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4967007523) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33335547 + ... + 33335695.

Almost surely, 2^4967007529 is an apocalyptic number.

4967007529 is the 70477-th square number.

4967007529 is the 35239-th centered octagonal number.

It is an amenable number.

4967007529 is a deficient number, since it is larger than the sum of its proper divisors (660281390).

4967007529 is an equidigital number, since it uses as much as digits as its factorization.

4967007529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The cubic root of 4967007529 is about 1706.2065549208.

Multiplying 4967007529 by its sum of digits (49), we get a square (243383368921 = 493339²).

The spelling of 4967007529 in words is "four billion, nine hundred sixty-seven million, seven thousand, five hundred twenty-nine".