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3755851225 = 52721721032
BaseRepresentation
bin1101111111011101…
…1011110111011001
3100200202022000021221
43133313123313121
530142444214400
61420404532041
7162034131400
oct33767336731
910622260257
103755851225
111658097685
128899b1021
1347b17a399
14278b5c637
1516eae9c1a
hexdfddbdd9

3755851225 has 81 divisors (see below), whose sum is σ = 5811470397. Its totient is φ = 2400410880.

The previous prime is 3755851193. The next prime is 3755851247. The reversal of 3755851225 is 5221585573.

The square root of 3755851225 is 61285.

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 87853129 + 3667998096 = 9373^2 + 60564^2 .

It is not a de Polignac number, because 3755851225 - 25 = 3755851193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36464524 + ... + 36464626.

Almost surely, 23755851225 is an apocalyptic number.

3755851225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3755851225 is the 61285-th square number.

3755851225 is the 30643-rd centered octagonal number.

It is an amenable number.

3755851225 is a deficient number, since it is larger than the sum of its proper divisors (2055619172).

3755851225 is a wasteful number, since it uses less digits than its factorization.

3755851225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its digits is 420000, while the sum is 43.

The cubic root of 3755851225 is about 1554.4238826902.

The spelling of 3755851225 in words is "three billion, seven hundred fifty-five million, eight hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 103 119 175 245 289 425 515 595 721 833 1225 1445 1751 2023 2575 2975 3605 4165 5047 7225 8755 10115 10609 12257 14161 18025 20825 25235 29767 43775 50575 53045 61285 70805 74263 85799 126175 148835 180353 208369 265225 306425 354025 371315 428995 519841 744175 901765 1041845 1262471 1458583 1856575 2144975 2599205 3066001 4508825 5209225 6312355 7292915 8837297 12996025 15330005 21462007 31561775 36464575 44186485 76650025 107310035 150234049 220932425 536550175 751170245 3755851225