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1253052045 = 33574132341
BaseRepresentation
bin100101010110000…
…0000111010001101
310020022211122021000
41022230000322031
510031240131140
6324201130513
743023523650
oct11254007215
93208748230
101253052045
11593351603
122ab789a39
1316c7aab1b
14bc5bd897
1575019a30
hex4ab00e8d

1253052045 has 64 divisors (see below), whose sum is σ = 2608058880. Its totient is φ = 558835200.

The previous prime is 1253052019. The next prime is 1253052049. The reversal of 1253052045 is 5402503521.

It is a happy number.

It is not a de Polignac number, because 1253052045 - 25 = 1253052013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253052049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22575 + ... + 54915.

It is an arithmetic number, because the mean of its divisors is an integer number (40750920).

Almost surely, 21253052045 is an apocalyptic number.

1253052045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1253052045 is an abundant number, since it is smaller than the sum of its proper divisors (1355006835).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1253052045 is a wasteful number, since it uses less digits than its factorization.

1253052045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32403 (or 32397 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1253052045 is about 35398.4751790243. The cubic root of 1253052045 is about 1078.0933566516.

Adding to 1253052045 its reverse (5402503521), we get a palindrome (6655555566).

The spelling of 1253052045 in words is "one billion, two hundred fifty-three million, fifty-two thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 105 123 135 189 205 287 315 369 615 861 945 1107 1435 1845 2583 4305 5535 7749 12915 32341 38745 97023 161705 226387 291069 485115 679161 873207 1131935 1325981 1455345 2037483 3395805 3977943 4366035 6112449 6629905 9281867 10187415 11933829 19889715 27845601 30562245 35801487 46409335 59669145 83536803 139228005 179007435 250610409 417684015 1253052045