84942519601 has 9 divisors (see below), whose sum is σ = 87311394849. Its totient is φ = 82636283664.

The previous prime is 84942519589. The next prime is 84942519643. The reversal of 84942519601 is 10691524948.

The square root of 84942519601 is 291449.

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

It can be written as a sum of positive squares in 4 ways, for example, as 424401201 + 84518118400 = 20601^2 + 290720^2 .

It is not a de Polignac number, because 84942519601 - 2²⁷ = 84808301873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84942519661) 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, 10779675 + ... + 10787551.

Almost surely, 2^84942519601 is an apocalyptic number.

84942519601 is the 291449-th square number.

84942519601 is the 145725-th centered octagonal number.

It is an amenable number.

84942519601 is a deficient number, since it is larger than the sum of its proper divisors (2368875248).

84942519601 is an frugal number, since it uses more digits than its factorization.

84942519601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15828 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 84942519601 by its sum of digits (49), we get a square (4162183460449 = 2040143²).

The spelling of 84942519601 in words is "eighty-four billion, nine hundred forty-two million, five hundred nineteen thousand, six hundred one".