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1285581025 = 527121012
BaseRepresentation
bin100110010100000…
…0110100011100001
310022121001021122001
41030220012203201
510113102043100
6331322244001
743600154431
oct11450064341
93277037561
101285581025
115aa74a063
122ba656601
13176459c41
14c2a4a2c1
1577ce2d6a
hex4ca068e1

1285581025 has 27 divisors (see below), whose sum is σ = 1633056409. Its totient is φ = 1003940000.

The previous prime is 1285581023. The next prime is 1285581029. The reversal of 1285581025 is 5201855821.

The square root of 1285581025 is 35855.

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

It can be written as a sum of positive squares in 4 ways, for example, as 237375649 + 1048205376 = 15407^2 + 32376^2 .

It is not a de Polignac number, because 1285581025 - 21 = 1285581023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1285581023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12728475 + ... + 12728575.

Almost surely, 21285581025 is an apocalyptic number.

1285581025 is the 35855-th square number.

1285581025 is the 17928-th centered octagonal number.

It is an amenable number.

1285581025 is a deficient number, since it is larger than the sum of its proper divisors (347475384).

1285581025 is an frugal number, since it uses more digits than its factorization.

1285581025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 37.

The cubic root of 1285581025 is about 1087.3428037198.

The spelling of 1285581025 in words is "one billion, two hundred eighty-five million, five hundred eighty-one thousand, twenty-five".

Divisors: 1 5 25 71 101 355 505 1775 2525 5041 7171 10201 25205 35855 51005 126025 179275 255025 509141 724271 2545705 3621355 12728525 18106775 51423241 257116205 1285581025