2613263000481 has 63 divisors (see below), whose sum is σ = 4406631730033. Its totient is φ = 1492342606440.

The previous prime is 2613263000399. The next prime is 2613263000489. The reversal of 2613263000481 is 1840003623162.

The square root of 2613263000481 is 1616559.

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

2613263000481 is a `hidden beast` number, since 2 + 6 + 13 + 2 + 630 + 0 + 0 + 4 + 8 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 2613263000481 - 2⁹ = 2613262999969 is a prime.

It is a super-2 number, since 2×2613263000481² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2613263000489) 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 62 ways as a sum of consecutive naturals, for example, 1663438426 + ... + 1663439996.

Almost surely, 2^{2613263000481} is an apocalyptic number.

2613263000481 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2613263000481 is the 1616559-th square number.

2613263000481 is the 808280-th centered octagonal number.

It is an amenable number.

2613263000481 is a deficient number, since it is larger than the sum of its proper divisors (1793368729552).

2613263000481 is an frugal number, since it uses more digits than its factorization.

2613263000481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 2613263000481 by its sum of digits (36), we get a square (94077468017316 = 9699354²).

The spelling of 2613263000481 in words is "two trillion, six hundred thirteen billion, two hundred sixty-three million, four hundred eighty-one", and thus it is an aban number.