6042653828761 has 27 divisors (see below), whose sum is σ = 6801289528383. Its totient is φ = 5364537559920.

The previous prime is 6042653828719. The next prime is 6042653828773. The reversal of 6042653828761 is 1678283562406.

The square root of 6042653828761 is 2458181.

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

It can be written as a sum of positive squares in only one way, i.e., 2764222134025 + 3278431694736 = 1662595^2 + 1810644^2 .

It is a de Polignac number, because none of the positive numbers 2^k-6042653828761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6042653828696 and 6042653828705.

It is not an unprimeable number, because it can be changed into a prime (6042653828461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1162717015 + ... + 1162722211.

Almost surely, 2^{6042653828761} is an apocalyptic number.

6042653828761 is the 2458181-st square number.

6042653828761 is the 1229091-st centered octagonal number.

It is an amenable number.

6042653828761 is a deficient number, since it is larger than the sum of its proper divisors (758635699622).

6042653828761 is an frugal number, since it uses more digits than its factorization.

6042653828761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10502 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 6042653828761 in words is "six trillion, forty-two billion, six hundred fifty-three million, eight hundred twenty-eight thousand, seven hundred sixty-one".