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1050153325 = 521321714621
BaseRepresentation
bin111110100110000…
…001000101101101
32201012001022112121
4332212001011231
54122314401300
6252112232541
735011104334
oct7646010555
92635038477
101050153325
11499869811
1225383b751
1313974a300
149d684d1b
15622db81a
hex3e98116d

1050153325 has 36 divisors (see below), whose sum is σ = 1493110908. Its totient is φ = 729830400.

The previous prime is 1050153323. The next prime is 1050153367. The reversal of 1050153325 is 5233510501.

1050153325 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 18 ways, for example, as 1049954409 + 198916 = 32403^2 + 446^2 .

It is not a de Polignac number, because 1050153325 - 21 = 1050153323 is a prime.

It is a super-2 number, since 2×10501533252 = 2205644012017111250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1050153325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050153323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64515 + ... + 79135.

It is an arithmetic number, because the mean of its divisors is an integer number (41475303).

Almost surely, 21050153325 is an apocalyptic number.

It is an amenable number.

1050153325 is a deficient number, since it is larger than the sum of its proper divisors (442957583).

1050153325 is a wasteful number, since it uses less digits than its factorization.

1050153325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674 (or 14656 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 1050153325 is about 32406.0692617911. The cubic root of 1050153325 is about 1016.4458270963.

Adding to 1050153325 its reverse (5233510501), we get a palindrome (6283663826).

The spelling of 1050153325 in words is "one billion, fifty million, one hundred fifty-three thousand, three hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 169 221 325 425 845 1105 2873 4225 5525 14365 14621 71825 73105 190073 248557 365525 950365 1242785 2470949 3231241 4751825 6213925 12354745 16156205 42006133 61773725 80781025 210030665 1050153325