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553252401 = 32132941297
BaseRepresentation
bin100000111110011…
…111011000110001
31102120001010121200
4200332133120301
52113113034101
6130522041413
716465365522
oct4076373061
91376033550
10553252401
11264329799
12135349269
138a80b9b0
1453698849
1533886986
hex20f9f631

553252401 has 72 divisors (see below), whose sum is σ = 921942840. Its totient is φ = 317399040.

The previous prime is 553252397. The next prime is 553252409. The reversal of 553252401 is 104252355.

It is a happy number.

553252401 is a `hidden beast` number, since 5 + 5 + 3 + 252 + 401 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 467208225 + 86044176 = 21615^2 + 9276^2 .

It is not a de Polignac number, because 553252401 - 22 = 553252397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (553252409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5703585 + ... + 5703681.

Almost surely, 2553252401 is an apocalyptic number.

It is an amenable number.

553252401 is a deficient number, since it is larger than the sum of its proper divisors (368690439).

553252401 is a wasteful number, since it uses less digits than its factorization.

553252401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 183 counting only the distinct ones).

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

The square root of 553252401 is about 23521.3180115401. The cubic root of 553252401 is about 820.9331044542.

The spelling of 553252401 in words is "five hundred fifty-three million, two hundred fifty-two thousand, four hundred one".

Divisors: 1 3 9 13 29 39 41 87 97 117 123 261 291 369 377 533 873 1131 1189 1261 1599 1681 2813 3393 3567 3783 3977 4797 5043 8439 10701 11349 11931 15129 15457 21853 25317 35793 36569 46371 48749 51701 65559 109707 115333 139113 146247 155103 163057 196677 329121 345999 438741 465309 489171 633737 1037997 1467513 1499329 1901211 2119741 4497987 4728653 5703633 6359223 13493961 14185959 19077669 42557877 61472489 184417467 553252401