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1520536000225 = 521122693186653
BaseRepresentation
bin10110001000000111000…
…000100001011011100001
312101100202202202001001111
4112020013000201123201
5144403024204001400
63122305151303321
7214566204515224
oct26100700413341
95340682661044
101520536000225
11536945a28300
1220683451ab41
13b0502b6c428
1453846bd95bb
15298451e03ba
hex162070216e1

1520536000225 has 36 divisors (see below), whose sum is σ = 2073233546748. Its totient is φ = 1105427804800.

The previous prime is 1520536000157. The next prime is 1520536000253. The reversal of 1520536000225 is 5220006350251.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 153376406689 + 1367159593536 = 391633^2 + 1169256^2 .

It is not a de Polignac number, because 1520536000225 - 27 = 1520536000097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8052999 + ... + 8239651.

It is an arithmetic number, because the mean of its divisors is an integer number (57589820743).

Almost surely, 21520536000225 is an apocalyptic number.

It is an amenable number.

1520536000225 is a deficient number, since it is larger than the sum of its proper divisors (552697546523).

1520536000225 is a wasteful number, since it uses less digits than its factorization.

1520536000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189378 (or 189362 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 1520536000225 in words is "one trillion, five hundred twenty billion, five hundred thirty-six million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 11 25 55 121 275 605 2693 3025 13465 29623 67325 148115 186653 325853 740575 933265 1629265 2053183 4666325 8146325 10265915 22585013 51329575 112925065 502656529 564625325 2513282645 5529221819 12566413225 27646109095 60821440009 138230545475 304107200045 1520536000225