10629747725 has 24 divisors (see below), whose sum is σ = 13650766920. Its totient is φ = 8201312000.

The previous prime is 10629747721. The next prime is 10629747731. The reversal of 10629747725 is 52774792601.

It can be written as a sum of positive squares in 12 ways, for example, as 3012472996 + 7617274729 = 54886^2 + 87277^2 .

It is not a de Polignac number, because 10629747725 - 2² = 10629747721 is a prime.

It is a super-2 number, since 2×10629747725² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10629747721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674435 + ... + 690015.

It is an arithmetic number, because the mean of its divisors is an integer number (568781955).

Almost surely, 2^10629747725 is an apocalyptic number.

It is an amenable number.

10629747725 is a deficient number, since it is larger than the sum of its proper divisors (3021019195).

10629747725 is a wasteful number, since it uses less digits than its factorization.

10629747725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16561 (or 16556 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 10629747725 in words is "ten billion, six hundred twenty-nine million, seven hundred forty-seven thousand, seven hundred twenty-five".