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1331327012509 = 131741146929369
BaseRepresentation
bin10011010111111001010…
…001100000111010011101
311201021101110122120112201
4103113321101200322131
5133303024203400014
62455334142131501
7165120344614354
oct23277121407235
94637343576481
101331327012509
1147368143337a
1219602a880b91
139870b394730
1448617d4699b
152496e2c7e74
hex135f9460e9d

1331327012509 has 16 divisors (see below), whose sum is σ = 1555100452080. Its totient is φ = 1128417546240.

The previous prime is 1331327012507. The next prime is 1331327012537. The reversal of 1331327012509 is 9052107231331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3020052025 + 1328306960484 = 54955^2 + 1152522^2 .

It is not a de Polignac number, because 1331327012509 - 21 = 1331327012507 is a prime.

It is a super-2 number, since 2×13313270125092 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331327012507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73455624 + ... + 73473745.

It is an arithmetic number, because the mean of its divisors is an integer number (97193778255).

Almost surely, 21331327012509 is an apocalyptic number.

It is an amenable number.

1331327012509 is a deficient number, since it is larger than the sum of its proper divisors (223773439571).

1331327012509 is a wasteful number, since it uses less digits than its factorization.

1331327012509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146929440.

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 1331327012509 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-seven million, twelve thousand, five hundred nine".

Divisors: 1 13 17 41 221 533 697 9061 146929369 1910081797 2497799273 6024104129 32471390549 78313353677 102409770193 1331327012509