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1525607681 = 13312122117
BaseRepresentation
bin101101011101110…
…1110110100000001
310221022200220022012
41122323232310001
511111023421211
6411215022305
752543310543
oct13273566401
93838626265
101525607681
117131906a4
12366b0a995
131b40b9c50
1410688b693
158de06d8b
hex5aeeed01

1525607681 has 12 divisors (see below), whose sum is σ = 1697684436. Its totient is φ = 1362814560.

The previous prime is 1525607627. The next prime is 1525607711. The reversal of 1525607681 is 1867065251.

It can be written as a sum of positive squares in 2 ways, for example, as 849139600 + 676468081 = 29140^2 + 26009^2 .

It is not a de Polignac number, because 1525607681 - 26 = 1525607617 is a prime.

It is a super-2 number, since 2×15256076812 = 4654957592652395522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1525697681) 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 11 ways as a sum of consecutive naturals, for example, 48566 + ... + 73551.

It is an arithmetic number, because the mean of its divisors is an integer number (141473703).

Almost surely, 21525607681 is an apocalyptic number.

It is an amenable number.

1525607681 is a deficient number, since it is larger than the sum of its proper divisors (172076755).

1525607681 is a wasteful number, since it uses less digits than its factorization.

1525607681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122192 (or 122161 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 1525607681 is about 39059.0281625132. The cubic root of 1525607681 is about 1151.1916270684.

The spelling of 1525607681 in words is "one billion, five hundred twenty-five million, six hundred seven thousand, six hundred eighty-one".

Divisors: 1 13 31 403 961 12493 122117 1587521 3785627 49213151 117354437 1525607681