10287461413 has 24 divisors (see below), whose sum is σ = 11664933336. Its totient is φ = 9035136000.

The previous prime is 10287461399. The next prime is 10287461489. The reversal of 10287461413 is 31416478201.

It can be written as a sum of positive squares in 4 ways, for example, as 2319578244 + 7967883169 = 48162^2 + 89263^2 .

It is not a de Polignac number, because 10287461413 - 2¹³ = 10287453221 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287461113) 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, 354763 + ... + 382663.

It is an arithmetic number, because the mean of its divisors is an integer number (486038889).

Almost surely, 2^10287461413 is an apocalyptic number.

It is an amenable number.

10287461413 is a deficient number, since it is larger than the sum of its proper divisors (1377471923).

10287461413 is a wasteful number, since it uses less digits than its factorization.

10287461413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28005 (or 27982 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 10287461413 in words is "ten billion, two hundred eighty-seven million, four hundred sixty-one thousand, four hundred thirteen".