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1353130053 = 311229173743
BaseRepresentation
bin101000010100111…
…0010000001000101
310111022011010110220
41100221302001011
510232400130203
6342134134553
745350262402
oct12051620105
93438133426
101353130053
11634896700
123191b1459
1318744ac92
14cb9d12a9
157dbd7653
hex50a72045

1353130053 has 48 divisors (see below), whose sum is σ = 2066117760. Its totient is φ = 786163840.

The previous prime is 1353130019. The next prime is 1353130061. The reversal of 1353130053 is 3500313531.

It is not a de Polignac number, because 1353130053 - 28 = 1353129797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353130153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1820800 + ... + 1821542.

It is an arithmetic number, because the mean of its divisors is an integer number (43044120).

Almost surely, 21353130053 is an apocalyptic number.

It is an amenable number.

1353130053 is a deficient number, since it is larger than the sum of its proper divisors (712987707).

1353130053 is a wasteful number, since it uses less digits than its factorization.

1353130053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 24.

The square root of 1353130053 is about 36784.9161070132. The cubic root of 1353130053 is about 1106.0629542867.

Adding to 1353130053 its reverse (3500313531), we get a palindrome (4853443584).

The spelling of 1353130053 in words is "one billion, three hundred fifty-three million, one hundred thirty thousand, fifty-three".

Divisors: 1 3 11 29 33 87 121 173 319 363 519 743 957 1903 2229 3509 5017 5709 8173 10527 15051 20933 21547 24519 55187 62799 64641 89903 128539 165561 237017 269709 385617 607057 711051 1413929 1821171 2607187 3727631 4241787 7821561 11182893 15553219 41003941 46659657 123011823 451043351 1353130053