7828101054261 has 24 divisors (see below), whose sum is σ = 11577408402560. Its totient is φ = 5094199688256.

The previous prime is 7828101054253. The next prime is 7828101054271. The reversal of 7828101054261 is 1624501018287.

7828101054261 is a `hidden beast` number, since 7 + 8 + 28 + 10 + 10 + 542 + 61 = 666.

It is not a de Polignac number, because 7828101054261 - 2³ = 7828101054253 is a prime.

It is a super-2 number, since 2×7828101054261² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828101054271) 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, 5663101 + ... + 6908466.

Almost surely, 2^{7828101054261} is an apocalyptic number.

It is an amenable number.

7828101054261 is a deficient number, since it is larger than the sum of its proper divisors (3749307348299).

7828101054261 is a wasteful number, since it uses less digits than its factorization.

7828101054261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12573225 (or 12573222 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 7828101054261 in words is "seven trillion, eight hundred twenty-eight billion, one hundred one million, fifty-four thousand, two hundred sixty-one".