7813145628351 has 24 divisors (see below), whose sum is σ = 13464831470640. Its totient is φ = 4464654644016.

The previous prime is 7813145628347. The next prime is 7813145628377. The reversal of 7813145628351 is 1538265413187.

7813145628351 is a `hidden beast` number, since 7 + 8 + 1 + 3 + 1 + 4 + 5 + 628 + 3 + 5 + 1 = 666.

It is not a de Polignac number, because 7813145628351 - 2² = 7813145628347 is a prime.

It is a super-2 number, since 2×7813145628351² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7813145623351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2952812596 + ... + 2952815241.

It is an arithmetic number, because the mean of its divisors is an integer number (561034644610).

Almost surely, 2^{7813145628351} is an apocalyptic number.

7813145628351 is a deficient number, since it is larger than the sum of its proper divisors (5651685842289).

7813145628351 is a wasteful number, since it uses less digits than its factorization.

7813145628351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905627860 (or 5905627847 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 7813145628351 in words is "seven trillion, eight hundred thirteen billion, one hundred forty-five million, six hundred twenty-eight thousand, three hundred fifty-one".