42837692592601 has 27 divisors (see below), whose sum is σ = 45661743892989. Its totient is φ = 40180120449408.

The previous prime is 42837692592589. The next prime is 42837692592623. The reversal of 42837692592601 is 10629529673824.

The square root of 42837692592601 is 6545051.

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 16636193405001 + 26201499187600 = 4078749^2 + 5118740^2 .

It is not a de Polignac number, because 42837692592601 - 2⁹ = 42837692592089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42837692592671) 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, 48845715175 + ... + 48845716051.

It is a 1-persistent number, because it is pandigital, but 2⋅42837692592601 = 85675385185202 is not.

Almost surely, 2^{42837692592601} is an apocalyptic number.

42837692592601 is the 6545051-st square number.

42837692592601 is the 3272526-th centered octagonal number.

It is an amenable number.

42837692592601 is a deficient number, since it is larger than the sum of its proper divisors (2824051300388).

42837692592601 is an frugal number, since it uses more digits than its factorization.

42837692592601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 64.

The spelling of 42837692592601 in words is "forty-two trillion, eight hundred thirty-seven billion, six hundred ninety-two million, five hundred ninety-two thousand, six hundred one".