42417280251025 has 9 divisors (see below), whose sum is σ = 52597467891003. Its totient is φ = 33933798149400.

The previous prime is 42417280251023. The next prime is 42417280251067. The reversal of 42417280251025 is 52015208271424.

The square root of 42417280251025 is 6512855.

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., 15270220890369 + 27147059360656 = 3907713^2 + 5210284^2 .

It is not a de Polignac number, because 42417280251025 - 2¹ = 42417280251023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42417280251023) 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, 31912990 + ... + 33215560.

Almost surely, 2^{42417280251025} is an apocalyptic number.

42417280251025 is the 6512855-th square number.

42417280251025 is the 3256428-th centered octagonal number.

It is an amenable number.

42417280251025 is a deficient number, since it is larger than the sum of its proper divisors (10180187639978).

42417280251025 is an frugal number, since it uses more digits than its factorization.

42417280251025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605152 (or 1302576 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 43.

The spelling of 42417280251025 in words is "forty-two trillion, four hundred seventeen billion, two hundred eighty million, two hundred fifty-one thousand, twenty-five".