77142285025 has 27 divisors (see below), whose sum is σ = 103604881419. Its totient is φ = 56953278720.

The previous prime is 77142285023. The next prime is 77142285061. The reversal of 77142285025 is 52058224177.

The square root of 77142285025 is 277745.

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

It can be written as a sum of positive squares in 13 ways, for example, as 77124510369 + 17774656 = 277713^2 + 4216^2 .

It is not a de Polignac number, because 77142285025 - 2¹ = 77142285023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77142285023) 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 26 ways as a sum of consecutive naturals, for example, 18051289 + ... + 18055561.

Almost surely, 2^77142285025 is an apocalyptic number.

77142285025 is the 277745-th square number.

77142285025 is the 138873-rd centered octagonal number.

It is an amenable number.

77142285025 is a deficient number, since it is larger than the sum of its proper divisors (26462596394).

77142285025 is an frugal number, since it uses more digits than its factorization.

77142285025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 43.

The spelling of 77142285025 in words is "seventy-seven billion, one hundred forty-two million, two hundred eighty-five thousand, twenty-five".