5431628261345 has 128 divisors (see below), whose sum is σ = 8251373007360. Its totient is φ = 3371268096000.

The previous prime is 5431628261317. The next prime is 5431628261383.

5431628261345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5431628261345 - 2¹⁰ = 5431628260321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5431628261293 and 5431628261302.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1707520655 + ... + 1707523835.

It is an arithmetic number, because the mean of its divisors is an integer number (64463851620).

Almost surely, 2^{5431628261345} is an apocalyptic number.

5431628261345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5431628261345 is a deficient number, since it is larger than the sum of its proper divisors (2819744746015).

5431628261345 is a wasteful number, since it uses less digits than its factorization.

5431628261345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667.

The product of its digits is 4147200, while the sum is 50.

The spelling of 5431628261345 in words is "five trillion, four hundred thirty-one billion, six hundred twenty-eight million, two hundred sixty-one thousand, three hundred forty-five".