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401561521 = 2926912
BaseRepresentation
bin10111111011110…
…101011110110001
31000222121102211221
4113323311132301
51310244432041
6103502505041
712644134204
oct2773653661
91028542757
10401561521
11196742129
12b2595181
136526a28a
143b48d93b
15253c12d1
hex17ef57b1

401561521 has 9 divisors (see below), whose sum is σ = 416488683. Its totient is φ = 387153480.

The previous prime is 401561519. The next prime is 401561527. The reversal of 401561521 is 125165104.

It is a happy number.

The square root of 401561521 is 20039.

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., 210569121 + 190992400 = 14511^2 + 13820^2 .

It is not a de Polignac number, because 401561521 - 21 = 401561519 is a prime.

It is a super-2 number, since 2×4015615212 = 322503310295666882, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401561527) 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, 580786 + ... + 581476.

Almost surely, 2401561521 is an apocalyptic number.

401561521 is the 20039-th square number.

401561521 is the 10020-th centered octagonal number.

It is an amenable number.

401561521 is a deficient number, since it is larger than the sum of its proper divisors (14927162).

401561521 is an frugal number, since it uses more digits than its factorization.

401561521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The cubic root of 401561521 is about 737.7638368865.

Multiplying 401561521 by its sum of digits (25), we get a square (10039038025 = 1001952).

It can be divided in two parts, 4015 and 61521, that added together give a 16-th power (65536 = 216).

The spelling of 401561521 in words is "four hundred one million, five hundred sixty-one thousand, five hundred twenty-one".

Divisors: 1 29 691 841 20039 477481 581131 13846949 401561521