42797436900625 has 45 divisors (see below), whose sum is σ = 58785917924503. Its totient is φ = 31124100260000.

The previous prime is 42797436900623. The next prime is 42797436900679. The reversal of 42797436900625 is 52600963479724.

The square root of 42797436900625 is 6541975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 41834597113089 + 962839787536 = 6467967^2 + 981244^2 .

It is not a de Polignac number, because 42797436900625 - 2¹ = 42797436900623 is a prime.

It is a super-2 number, since 2×42797436900625² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42797436900623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1799031231 + ... + 1799055019.

Almost surely, 2^{42797436900625} is an apocalyptic number.

42797436900625 is the 6541975-th square number.

42797436900625 is the 3270988-th centered octagonal number.

It is an amenable number.

42797436900625 is a deficient number, since it is larger than the sum of its proper divisors (15988481023878).

42797436900625 is an frugal number, since it uses more digits than its factorization.

42797436900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47620 (or 23805 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 64.

The spelling of 42797436900625 in words is "forty-two trillion, seven hundred ninety-seven billion, four hundred thirty-six million, nine hundred thousand, six hundred twenty-five".