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525153213 = 34133491429
BaseRepresentation
bin11111010011010…
…011001110111101
31100121011112210000
4133103103032331
52033414400323
6124035504513
716004504634
oct3723231675
91317145700
10525153213
1124a487422
12127a58139
1384a50c60
144da6251b
1531185e43
hex1f4d33bd

525153213 has 40 divisors (see below), whose sum is σ = 847847000. Its totient is φ = 322019712.

The previous prime is 525153197. The next prime is 525153241. The reversal of 525153213 is 312351525.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1750329 + 523402884 = 1323^2 + 22878^2 .

It is not a de Polignac number, because 525153213 - 24 = 525153197 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 (525153283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 366783 + ... + 368211.

It is an arithmetic number, because the mean of its divisors is an integer number (21196175).

Almost surely, 2525153213 is an apocalyptic number.

It is an amenable number.

525153213 is a deficient number, since it is larger than the sum of its proper divisors (322693787).

525153213 is a wasteful number, since it uses less digits than its factorization.

525153213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1794 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 525153213 is about 22916.2216126481. The cubic root of 525153213 is about 806.7927910123.

The spelling of 525153213 in words is "five hundred twenty-five million, one hundred fifty-three thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 39 81 117 349 351 1047 1053 1429 3141 4287 4537 9423 12861 13611 18577 28269 38583 40833 55731 115749 122499 167193 367497 498721 501579 1496163 1504737 4488489 6483373 13465467 19450119 40396401 58350357 175051071 525153213