2635619124681 has 9 divisors (see below), whose sum is σ = 3807012437319. Its totient is φ = 1757076169536.

The previous prime is 2635619124643. The next prime is 2635619124727. The reversal of 2635619124681 is 1864219165362.

The square root of 2635619124681 is 1623459.

It is a perfect power (a square), and thus also a powerful number.

2635619124681 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 619 + 12 + 4 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2532824505225 + 102794619456 = 1591485^2 + 320616^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2635619124681 - 2¹⁹ = 2635618600393 is a prime.

It is a super-2 number, since 2×2635619124681² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2635619124601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4599801 + ... + 5140953.

Almost surely, 2^{2635619124681} is an apocalyptic number.

2635619124681 is the 1623459-th square number.

2635619124681 is the 811730-th centered octagonal number.

It is an amenable number.

2635619124681 is a deficient number, since it is larger than the sum of its proper divisors (1171393312638).

2635619124681 is an frugal number, since it uses more digits than its factorization.

2635619124681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082312 (or 541156 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 2635619124681 in words is "two trillion, six hundred thirty-five billion, six hundred nineteen million, one hundred twenty-four thousand, six hundred eighty-one".