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25313066253 = 326782151131
BaseRepresentation
bin10111100100110001…
…101011110100001101
32102100002222222222100
4113210301223310031
5403320121110003
615343442505313
71554165340656
oct274461536415
972302888870
1025313066253
11a80a625372
124aa5365239
13250535a717
141321b9c52d
159d2412ba3
hex5e4c6bd0d

25313066253 has 24 divisors (see below), whose sum is σ = 37154965536. Its totient is φ = 16602933600.

The previous prime is 25313066243. The next prime is 25313066257. The reversal of 25313066253 is 35266031352.

25313066253 is a `hidden beast` number, since 25 + 3 + 1 + 3 + 0 + 6 + 625 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-25313066253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25313066257) 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 23 ways as a sum of consecutive naturals, for example, 469498 + ... + 520628.

It is an arithmetic number, because the mean of its divisors is an integer number (1548123564).

Almost surely, 225313066253 is an apocalyptic number.

It is an amenable number.

25313066253 is a deficient number, since it is larger than the sum of its proper divisors (11841899283).

25313066253 is a wasteful number, since it uses less digits than its factorization.

25313066253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52025 (or 52022 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 25313066253 in words is "twenty-five billion, three hundred thirteen million, sixty-six thousand, two hundred fifty-three".

Divisors: 1 3 9 67 201 603 821 2463 7389 51131 55007 153393 165021 460179 495063 3425777 10277331 30831993 41978551 125935653 377806959 2812562917 8437688751 25313066253