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1052334224253 = 331367183124439
BaseRepresentation
bin11110101000001000000…
…00011111001101111101
310201121020222111110211000
433110010000133031331
5114220140030134003
62123234034320513
7136012552214214
oct17240400371575
93647228443730
101052334224253
113763242651a4
1214bb48729139
1378308804340
1438d0cb9407b
151c590edd1a3
hexf50401f37d

1052334224253 has 64 divisors (see below), whose sum is σ = 1704996966400. Its totient is φ = 637550274240.

The previous prime is 1052334224251. The next prime is 1052334224267. The reversal of 1052334224253 is 3524224332501.

1052334224253 is a `hidden beast` number, since 1 + 0 + 5 + 23 + 342 + 242 + 53 = 666.

1052334224253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1052334224253 - 21 = 1052334224251 is a prime.

It is a super-2 number, since 2×10523342242532 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052334224251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43047408 + ... + 43071846.

It is an arithmetic number, because the mean of its divisors is an integer number (26640577600).

Almost surely, 21052334224253 is an apocalyptic number.

1052334224253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1052334224253 is a deficient number, since it is larger than the sum of its proper divisors (652662742147).

1052334224253 is a wasteful number, since it uses less digits than its factorization.

1052334224253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26359 (or 26353 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 1052334224253 its reverse (3524224332501), we get a palindrome (4576558556754).

The spelling of 1052334224253 in words is "one trillion, fifty-two billion, three hundred thirty-four million, two hundred twenty-four thousand, two hundred fifty-three".

Divisors: 1 3 9 13 27 39 67 117 201 351 603 871 1809 1831 2613 5493 7839 16479 23517 23803 24439 49437 71409 73317 122677 214227 219951 317707 368031 642681 659853 953121 1104093 1594801 1637413 2859363 3312279 4784403 4912239 8578089 14353209 14736717 21286369 43059627 44210151 44747809 63859107 134243427 191577321 402730281 574731963 581721517 1208190843 1745164551 2998103203 5235493653 8994309609 15706480959 26982928827 38975341639 80948786481 116926024917 350778074751 1052334224253