10724970825 has 36 divisors (see below), whose sum is σ = 19221470268. Its totient is φ = 5716454400.

The previous prime is 10724970787. The next prime is 10724970877. The reversal of 10724970825 is 52807942701.

It is a happy number.

10724970825 is a `hidden beast` number, since 10 + 72 + 497 + 0 + 82 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1295784009 + 9429186816 = 35997^2 + 97104^2 .

It is not a de Polignac number, because 10724970825 - 2²¹ = 10722873673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373377 + ... + 401073.

Almost surely, 2^10724970825 is an apocalyptic number.

10724970825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10724970825 is a deficient number, since it is larger than the sum of its proper divisors (8496499443).

10724970825 is a wasteful number, since it uses less digits than its factorization.

10724970825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29434 (or 29426 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10724970825 in words is "ten billion, seven hundred twenty-four million, nine hundred seventy thousand, eight hundred twenty-five".