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35019508225 = 5213228792
BaseRepresentation
bin100000100111010100…
…110100101000000001
310100101120101100012011
4200213110310220001
51033204443230400
624030541332521
72346546623422
oct404724645001
9110346340164
1035019508225
1113940665939
126953b67141
1333c1294300
1419a2d47649
15d9e6358ba
hex827534a01

35019508225 has 27 divisors (see below), whose sum is σ = 47037798633. Its totient is φ = 25851577440.

The previous prime is 35019508217. The next prime is 35019508229. The reversal of 35019508225 is 52280591053.

The square root of 35019508225 is 187135.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9026330049 + 25993178176 = 95007^2 + 161224^2 .

It is not a de Polignac number, because 35019508225 - 23 = 35019508217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35019508229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12162336 + ... + 12165214.

Almost surely, 235019508225 is an apocalyptic number.

35019508225 is the 187135-th square number.

35019508225 is the 93568-th centered octagonal number.

It is an amenable number.

35019508225 is a deficient number, since it is larger than the sum of its proper divisors (12018290408).

35019508225 is an frugal number, since it uses more digits than its factorization.

35019508225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 35019508225 in words is "thirty-five billion, nineteen million, five hundred eight thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 2879 4225 14395 37427 71975 187135 486551 935675 2432755 8288641 12163775 41443205 107752333 207216025 538761665 1400780329 2693808325 7003901645 35019508225