10249617661 has 8 divisors (see below), whose sum is σ = 10265081400. Its totient is φ = 10234168320.

The previous prime is 10249617649. The next prime is 10249617667. The reversal of 10249617661 is 16671694201.

It can be written as a sum of positive squares in 4 ways, for example, as 263412900 + 9986204761 = 16230^2 + 99931^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10249617661 - 2¹⁷ = 10249486589 is a prime.

It is a super-2 number, since 2×10249617661² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249617667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2606745 + ... + 2610673.

It is an arithmetic number, because the mean of its divisors is an integer number (1283135175).

Almost surely, 2^10249617661 is an apocalyptic number.

It is an amenable number.

10249617661 is a deficient number, since it is larger than the sum of its proper divisors (15463739).

10249617661 is a wasteful number, since it uses less digits than its factorization.

10249617661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7199.

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 10249617661 in words is "ten billion, two hundred forty-nine million, six hundred seventeen thousand, six hundred sixty-one".