52123273926025 has 81 divisors (see below), whose sum is σ = 69226495839837. Its totient is φ = 38923705267200.

The previous prime is 52123273926023. The next prime is 52123273926029. The reversal of 52123273926025 is 52062937232125.

The square root of 52123273926025 is 7219645.

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

It can be written as a sum of positive squares in 40 ways, for example, as 50747429380729 + 1375844545296 = 7123723^2 + 1172964^2 .

It is not a de Polignac number, because 52123273926025 - 2¹ = 52123273926023 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52123273926025.

It is not an unprimeable number, because it can be changed into a prime (52123273926023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 96346162255 + ... + 96346162795.

Almost surely, 2^{52123273926025} is an apocalyptic number.

52123273926025 is the 7219645-th square number.

52123273926025 is the 3609823-rd centered octagonal number.

It is an amenable number.

52123273926025 is a deficient number, since it is larger than the sum of its proper divisors (17103221913812).

52123273926025 is an frugal number, since it uses more digits than its factorization.

52123273926025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 52123273926025 in words is "fifty-two trillion, one hundred twenty-three billion, two hundred seventy-three million, nine hundred twenty-six thousand, twenty-five".