461635323122013 has 16 divisors (see below), whose sum is σ = 632712182667456. Its totient is φ = 299172486286080.

The previous prime is 461635323121967. The next prime is 461635323122033. The reversal of 461635323122013 is 310221323536164.

It is not a de Polignac number, because 461635323122013 - 2⁹ = 461635323121501 is a prime.

It is a super-3 number, since 3×461635323122013³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461635323122033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1851556908 + ... + 1851806213.

It is an arithmetic number, because the mean of its divisors is an integer number (39544511416716).

Almost surely, 2^{461635323122013} is an apocalyptic number.

It is an amenable number.

461635323122013 is a deficient number, since it is larger than the sum of its proper divisors (171076859545443).

461635323122013 is a wasteful number, since it uses less digits than its factorization.

461635323122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703364284.

The product of its (nonzero) digits is 466560, while the sum is 42.

Adding to 461635323122013 its reverse (310221323536164), we get a palindrome (771856646658177).

The spelling of 461635323122013 in words is "four hundred sixty-one trillion, six hundred thirty-five billion, three hundred twenty-three million, one hundred twenty-two thousand, thirteen".