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5661810025 = 5210121492
BaseRepresentation
bin1010100010111100…
…00101110101101001
3112121120200202020121
411101132011311221
543043410410100
62333452123241
7260206406524
oct52136056551
915546622217
105661810025
112445a42743
121120166521
136c2cb9261
143b9d37bbb
152320d351a
hex151785d69

5661810025 has 27 divisors (see below), whose sum is σ = 7138752943. Its totient is φ = 4454504000.

The previous prime is 5661810001. The next prime is 5661810059. The reversal of 5661810025 is 5200181665.

It is a happy number.

The square root of 5661810025 is 75245.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2784989529 + 2876820496 = 52773^2 + 53636^2 .

It is a de Polignac number, because none of the positive numbers 2k-5661810025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37998651 + ... + 37998799.

Almost surely, 25661810025 is an apocalyptic number.

5661810025 is the 75245-th square number.

5661810025 is the 37623-rd centered octagonal number.

It is an amenable number.

5661810025 is a deficient number, since it is larger than the sum of its proper divisors (1476942918).

5661810025 is an equidigital number, since it uses as much as digits as its factorization.

5661810025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The cubic root of 5661810025 is about 1782.3176082320.

Multiplying 5661810025 by its product of nonzero digits (14400), we get a square (81530064360000 = 90294002).

The spelling of 5661810025 in words is "five billion, six hundred sixty-one million, eight hundred ten thousand, twenty-five".

Divisors: 1 5 25 101 149 505 745 2525 3725 10201 15049 22201 51005 75245 111005 255025 376225 555025 1519949 2242301 7599745 11211505 37998725 56057525 226472401 1132362005 5661810025