2513347632405 has 12 divisors (see below), whose sum is σ = 4356469229580. Its totient is φ = 1340452070592.

The previous prime is 2513347632371. The next prime is 2513347632473. The reversal of 2513347632405 is 5042367433152.

It is a happy number.

2513347632405 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 3 + 4 + 7 + 632 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1900808175204 + 612539457201 = 1378698^2 + 782649^2 .

It is not a de Polignac number, because 2513347632405 - 2⁷ = 2513347632277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 55852169609 = 2513347632405 / (2 + 5 + 1 + 3 + 3 + 4 + 7 + 6 + 3 + 2 + 4 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27926084760 + ... + 27926084849.

It is an arithmetic number, because the mean of its divisors is an integer number (363039102465).

Almost surely, 2^{2513347632405} is an apocalyptic number.

It is an amenable number.

2513347632405 is a deficient number, since it is larger than the sum of its proper divisors (1843121597175).

2513347632405 is a wasteful number, since it uses less digits than its factorization.

2513347632405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55852169620 (or 55852169617 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 2513347632405 in words is "two trillion, five hundred thirteen billion, three hundred forty-seven million, six hundred thirty-two thousand, four hundred five".