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1587713402025 = 3452280012
BaseRepresentation
bin10111000110101011000…
…101111110010010101001
312121210011110212122010000
4113012223011332102221
5202003114112331100
63213215132213213
7222465006146502
oct27065305762251
95553143778100
101587713402025
11562388907593
1221786200a209
13b694a5a691a
1456bba9c7ba9
152b477b00900
hex171ab17e4a9

1587713402025 has 45 divisors (see below), whose sum is σ = 2941099095253. Its totient is φ = 846750240000.

The previous prime is 1587713401993. The next prime is 1587713402089. The reversal of 1587713402025 is 5202043177851.

The square root of 1587713402025 is 1260045.

It is a perfect power (a square), and thus also a powerful number.

1587713402025 is a `hidden beast` number, since 1 + 587 + 7 + 1 + 3 + 40 + 2 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3830743449 + 1583882658576 = 61893^2 + 1258524^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1587713402025 - 25 = 1587713401993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 56688025 + ... + 56716025.

Almost surely, 21587713402025 is an apocalyptic number.

1587713402025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1587713402025 is the 1260045-th square number.

1587713402025 is the 630023-rd centered octagonal number.

It is an amenable number.

1587713402025 is a deficient number, since it is larger than the sum of its proper divisors (1353385693228).

1587713402025 is an frugal number, since it uses more digits than its factorization.

1587713402025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56024 (or 28009 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

Adding to 1587713402025 its reverse (5202043177851), we get a palindrome (6789756579876).

The spelling of 1587713402025 in words is "one trillion, five hundred eighty-seven billion, seven hundred thirteen million, four hundred two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 28001 84003 140005 252009 420015 700025 756027 1260045 2100075 2268081 3780135 6300225 11340405 18900675 56702025 784056001 2352168003 3920280005 7056504009 11760840015 19601400025 21169512027 35282520045 58804200075 63508536081 105847560135 176412600225 317542680405 529237800675 1587713402025