Search a number
-
+
5625513135 = 3251112918803
BaseRepresentation
bin1010011110100111…
…01000010010101111
3112112001101200021100
411033103220102233
543010112410020
62330114134143
7256256033634
oct51723502257
915461350240
105625513135
112427501310
12110bb81353
136b861b0c8
143b51aa18b
1522dd13a90
hex14f4e84af

5625513135 has 48 divisors (see below), whose sum is σ = 10646782848. Its totient is φ = 2725099200.

The previous prime is 5625513097. The next prime is 5625513137. The reversal of 5625513135 is 5313155265.

5625513135 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 513 + 135 = 666.

It is not a de Polignac number, because 5625513135 - 26 = 5625513071 is a prime.

It is a super-3 number, since 3×56255131353 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5625513135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5625513137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634644 + ... + 643446.

It is an arithmetic number, because the mean of its divisors is an integer number (221807976).

Almost surely, 25625513135 is an apocalyptic number.

5625513135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5625513135 is a deficient number, since it is larger than the sum of its proper divisors (5021269713).

5625513135 is a wasteful number, since it uses less digits than its factorization.

5625513135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10116 (or 10113 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

The square root of 5625513135 is about 75003.4208219865. The cubic root of 5625513135 is about 1778.5007296065.

The spelling of 5625513135 in words is "five billion, six hundred twenty-five million, five hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 1291 3873 6455 8803 11619 14201 19365 26409 42603 44015 58095 71005 79227 96833 127809 132045 213015 290499 396135 484165 639045 871497 1452495 4357485 11364673 34094019 56823365 102282057 125011403 170470095 375034209 511410285 625057015 1125102627 1875171045 5625513135