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25018065241 = 132236
BaseRepresentation
bin10111010011001100…
…010110000101011001
32101120112220101122221
4113103030112011121
5402214111041431
615254303544041
71543654021501
oct272314260531
971515811587
1025018065241
11a679055784
124a225bb021
1324891c0100
1412d492aa01
159b6590111
hex5d3316159

25018065241 has 21 divisors (see below), whose sum is σ = 28321957119. Its totient is φ = 22089529176.

The previous prime is 25018065223. The next prime is 25018065313. The reversal of 25018065241 is 14256081052.

It is a happy number.

The square root of 25018065241 is 158171.

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., 3700897225 + 21317168016 = 60835^2 + 146004^2 .

It is not a de Polignac number, because 25018065241 - 25 = 25018065209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25018065197 and 25018065206.

It is not an unprimeable number, because it can be changed into a prime (25018065221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1087741956 + ... + 1087741978.

Almost surely, 225018065241 is an apocalyptic number.

25018065241 is the 158171-st square number.

25018065241 is the 79086-th centered octagonal number.

It is an amenable number.

25018065241 is a deficient number, since it is larger than the sum of its proper divisors (3303891878).

25018065241 is an frugal number, since it uses more digits than its factorization.

25018065241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 25018065241 in words is "twenty-five billion, eighteen million, sixty-five thousand, two hundred forty-one".

Divisors: 1 13 23 169 299 529 3887 6877 12167 89401 158171 279841 2056223 3637933 6436343 47293129 83672459 148035889 1087741967 1924466557 25018065241