10517762421 has 6 divisors (see below), whose sum is σ = 15192323510. Its totient is φ = 7011841608.

The previous prime is 10517762383. The next prime is 10517762441. The reversal of 10517762421 is 12426771501.

10517762421 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 7 + 7 + 624 + 21 = 666.

10517762421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7239627396 + 3278135025 = 85086^2 + 57255^2 .

It is not a de Polignac number, because 10517762421 - 2⁶ = 10517762357 is a prime.

It is a super-3 number, since 3×10517762421³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10517762441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 584320126 + ... + 584320143.

Almost surely, 2^10517762421 is an apocalyptic number.

It is an amenable number.

10517762421 is a deficient number, since it is larger than the sum of its proper divisors (4674561089).

10517762421 is a wasteful number, since it uses less digits than its factorization.

10517762421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168640275 (or 1168640272 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10517762421 in words is "ten billion, five hundred seventeen million, seven hundred sixty-two thousand, four hundred twenty-one".