83013710641 has 9 divisors (see below), whose sum is σ = 86786856121. Its totient is φ = 79398080212.

The previous prime is 83013710621. The next prime is 83013710651. The reversal of 83013710641 is 14601731038.

The square root of 83013710641 is 288121.

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

It is not a de Polignac number, because 83013710641 - 2⁷ = 83013710513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83013710597 and 83013710606.

It is not an unprimeable number, because it can be changed into a prime (83013710621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6620520 + ... + 6633046.

Almost surely, 2^83013710641 is an apocalyptic number.

83013710641 is the 288121-st square number.

83013710641 is the 144061-st centered octagonal number.

It is an amenable number.

83013710641 is a deficient number, since it is larger than the sum of its proper divisors (3773145480).

83013710641 is an frugal number, since it uses more digits than its factorization.

83013710641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25100 (or 12550 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 83013710641 in words is "eighty-three billion, thirteen million, seven hundred ten thousand, six hundred forty-one".