42771665400025 has 27 divisors (see below), whose sum is σ = 53134237063231. Its totient is φ = 34154626752080.

The previous prime is 42771665400017. The next prime is 42771665400031. The reversal of 42771665400025 is 52000456617724.

The square root of 42771665400025 is 6540005.

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., 15397799544009 + 27373865856016 = 3924003^2 + 5232004^2 .

It is not a de Polignac number, because 42771665400025 - 2³ = 42771665400017 is a prime.

It is a super-2 number, since 2×42771665400025² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27435320196 + ... + 27435321754.

Almost surely, 2^{42771665400025} is an apocalyptic number.

42771665400025 is the 6540005-th square number.

42771665400025 is the 3270003-rd centered octagonal number.

It is an amenable number.

42771665400025 is a deficient number, since it is larger than the sum of its proper divisors (10362571663206).

42771665400025 is an frugal number, since it uses more digits than its factorization.

42771665400025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 42771665400025 in words is "forty-two trillion, seven hundred seventy-one billion, six hundred sixty-five million, four hundred thousand, twenty-five".