10004177760513 has 4 divisors (see below), whose sum is σ = 13338903680688. Its totient is φ = 6669451840340.

The previous prime is 10004177760463. The next prime is 10004177760553. The reversal of 10004177760513 is 31506777140001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10004177760513 - 2¹⁴ = 10004177744129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10004177760553) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1667362960083 + ... + 1667362960088.

It is an arithmetic number, because the mean of its divisors is an integer number (3334725920172).

Almost surely, 2^{10004177760513} is an apocalyptic number.

It is an amenable number.

10004177760513 is a deficient number, since it is larger than the sum of its proper divisors (3334725920175).

10004177760513 is an equidigital number, since it uses as much as digits as its factorization.

10004177760513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334725920174.

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 10004177760513 in words is "ten trillion, four billion, one hundred seventy-seven million, seven hundred sixty thousand, five hundred thirteen".