10065506929 has 9 divisors (see below), whose sum is σ = 10321212811. Its totient is φ = 9815993680.

The previous prime is 10065506923. The next prime is 10065506939. The reversal of 10065506929 is 92960556001.

The square root of 10065506929 is 100327.

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., 485012529 + 9580494400 = 22023^2 + 97880^2 .

It is not a de Polignac number, because 10065506929 - 2³ = 10065506921 is a prime.

It is a super-2 number, since 2×10065506929² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10065506921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4112184 + ... + 4114630.

Almost surely, 2^10065506929 is an apocalyptic number.

10065506929 is the 100327-th square number.

10065506929 is the 50164-th centered octagonal number.

It is an amenable number.

10065506929 is a deficient number, since it is larger than the sum of its proper divisors (255705882).

10065506929 is an frugal number, since it uses more digits than its factorization.

10065506929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The spelling of 10065506929 in words is "ten billion, sixty-five million, five hundred six thousand, nine hundred twenty-nine".