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1601520361 = 7257172
BaseRepresentation
bin101111101110101…
…0100001011101001
311010121112122220221
41133131110023221
511234442122421
6422530050041
754454461400
oct13735241351
94117478827
101601520361
1175201aa51
12388419921
131c6a48aac
141129ac637
15958ee841
hex5f7542e9

1601520361 has 9 divisors (see below), whose sum is σ = 1863318999. Its totient is φ = 1372491624.

The previous prime is 1601520341. The next prime is 1601520373. The reversal of 1601520361 is 1630251061.

The square root of 1601520361 is 40019.

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

It can be written as a sum of positive squares in only one way, i.e., 933608025 + 667912336 = 30555^2 + 25844^2 .

It is not a de Polignac number, because 1601520361 - 25 = 1601520329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1601520301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 277275 + ... + 282991.

Almost surely, 21601520361 is an apocalyptic number.

1601520361 is the 40019-th square number.

1601520361 is the 20010-th centered octagonal number.

It is an amenable number.

1601520361 is a deficient number, since it is larger than the sum of its proper divisors (261798638).

1601520361 is an frugal number, since it uses more digits than its factorization.

1601520361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11448 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The cubic root of 1601520361 is about 1169.9774415501.

Multiplying 1601520361 by its sum of digits (25), we get a square (40038009025 = 2000952).

The spelling of 1601520361 in words is "one billion, six hundred one million, five hundred twenty thousand, three hundred sixty-one".

Divisors: 1 7 49 5717 40019 280133 32684089 228788623 1601520361