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1057152481 = 71177317761
BaseRepresentation
bin111111000000101…
…101110111100001
32201200012220120121
4333000231313201
54131112334411
6252522240241
735124435130
oct7700556741
92650186517
101057152481
114a280a340
12256056081
1313b02b018
14a0587917
1562c20571
hex3f02dde1

1057152481 has 16 divisors (see below), whose sum is σ = 1319787648. Its totient is φ = 822643200.

The previous prime is 1057152479. The next prime is 1057152511. The reversal of 1057152481 is 1842517501.

It is a cyclic number.

It is not a de Polignac number, because 1057152481 - 21 = 1057152479 is a prime.

It is a super-3 number, since 3×10571524813 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057152431) 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 15 ways as a sum of consecutive naturals, for example, 50641 + ... + 68401.

It is an arithmetic number, because the mean of its divisors is an integer number (82486728).

Almost surely, 21057152481 is an apocalyptic number.

1057152481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1057152481 is a deficient number, since it is larger than the sum of its proper divisors (262635167).

1057152481 is a wasteful number, since it uses less digits than its factorization.

1057152481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18552.

The product of its (nonzero) digits is 11200, while the sum is 34.

The square root of 1057152481 is about 32513.8813585828. The cubic root of 1057152481 is about 1018.6989951957.

Adding to 1057152481 its reverse (1842517501), we get a palindrome (2899669982).

The spelling of 1057152481 in words is "one billion, fifty-seven million, one hundred fifty-two thousand, four hundred eighty-one".

Divisors: 1 7 11 77 773 5411 8503 17761 59521 124327 195371 1367597 13729253 96104771 151021783 1057152481