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252242303010625 = 543538291379141
BaseRepresentation
bin111001010110100110111100…
…110111100100011101000001
31020002010010110210111110100001
4321112212330313210131001
5231030214214032320000
62252250303030200001
7104062622262122344
oct7126467467443501
91202103423443301
10252242303010625
11734103a6119424
122435a2b8ab3001
13aa994687a5205
14464084218045b
151e26603e0146a
hexe569bcde4741

252242303010625 has 40 divisors (see below), whose sum is σ = 316476431405640. Its totient is φ = 200979313920000.

The previous prime is 252242303010619. The next prime is 252242303010679. The reversal of 252242303010625 is 526010303242252.

It can be written as a sum of positive squares in 20 ways, for example, as 243261948278449 + 8980354732176 = 15596857^2 + 2996724^2 .

It is not a de Polignac number, because 252242303010625 - 219 = 252242302486337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182208555 + ... + 183587695.

It is an arithmetic number, because the mean of its divisors is an integer number (7911910785141).

Almost surely, 2252242303010625 is an apocalyptic number.

252242303010625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252242303010625 is a deficient number, since it is larger than the sum of its proper divisors (64234128395015).

252242303010625 is an equidigital number, since it uses as much as digits as its factorization.

252242303010625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380343 (or 1380328 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 252242303010625 its reverse (526010303242252), we get a palindrome (778252606252877).

The spelling of 252242303010625 in words is "two hundred fifty-two trillion, two hundred forty-two billion, three hundred three million, ten thousand, six hundred twenty-five".

Divisors: 1 5 25 125 353 625 829 1765 4145 8825 20725 44125 103625 220625 292637 518125 1379141 1463185 6895705 7315925 34478525 36579625 172392625 182898125 486836773 861963125 1143307889 2434183865 5716539445 12170919325 28582697225 60854596625 142913486125 304272983125 403587684817 714567430625 2017938424085 10089692120425 50448460602125 252242303010625