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10525734025 = 52174712
BaseRepresentation
bin10011100110110000…
…11111010010001001
31000011120000200121221
421303120133102021
5133024041442100
64500243002041
7521560156132
oct116330372211
930146020557
1010525734025
114511558844
122059069321
13cb98b28b1
1471bcd6c89
1541910b01a
hex27361f489

10525734025 has 45 divisors (see below), whose sum is σ = 14065714723. Its totient is φ = 7813635200.

The previous prime is 10525734013. The next prime is 10525734029. The reversal of 10525734025 is 52043752501.

The square root of 10525734025 is 102595.

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

10525734025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 1146973689 + 9378760336 = 33867^2 + 96844^2 .

It is not a de Polignac number, because 10525734025 - 211 = 10525731977 is a prime.

It is a super-2 number, since 2×105257340252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10525734029) 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 44 ways as a sum of consecutive naturals, for example, 148249740 + ... + 148249810.

Almost surely, 210525734025 is an apocalyptic number.

10525734025 is the 102595-th square number.

10525734025 is the 51298-th centered octagonal number.

It is an amenable number.

10525734025 is a deficient number, since it is larger than the sum of its proper divisors (3539980698).

10525734025 is an frugal number, since it uses more digits than its factorization.

10525734025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The spelling of 10525734025 in words is "ten billion, five hundred twenty-five million, seven hundred thirty-four thousand, twenty-five".

Divisors: 1 5 17 25 71 85 289 355 425 1207 1445 1775 4913 5041 6035 7225 20519 24565 25205 30175 83521 85697 102595 122825 126025 348823 417605 428485 512975 1456849 1744115 2088025 2142425 5929991 7284245 8720575 24766433 29649955 36421225 123832165 148249775 421029361 619160825 2105146805 10525734025