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561250557 = 3274191367
BaseRepresentation
bin100001011101000…
…000000011111101
31110010002111000200
4201131000003331
52122140004212
6131405314113
716623360000
oct4135000375
91403074020
10561250557
112688a193a
12137b65939
138c37c32a
145477b537
15344166dc
hex217400fd

561250557 has 60 divisors (see below), whose sum is σ = 996259680. Its totient is φ = 303612624.

The previous prime is 561250553. The next prime is 561250559. The reversal of 561250557 is 755052165.

It is a happy number.

561250557 is a `hidden beast` number, since 56 + 1 + 2 + 50 + 557 = 666.

It is not a de Polignac number, because 561250557 - 22 = 561250553 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561250553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 409888 + ... + 411254.

It is an arithmetic number, because the mean of its divisors is an integer number (16604328).

Almost surely, 2561250557 is an apocalyptic number.

561250557 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

561250557 is a deficient number, since it is larger than the sum of its proper divisors (435009123).

561250557 is a wasteful number, since it uses less digits than its factorization.

561250557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 561250557 is about 23690.7272366215. The cubic root of 561250557 is about 824.8701635898.

It can be divided in two parts, 5612 and 50557, that added together give a square (56169 = 2372).

The spelling of 561250557 in words is "five hundred sixty-one million, two hundred fifty thousand, five hundred fifty-seven".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 343 399 441 931 1029 1197 1367 2401 2793 3087 4101 6517 7203 8379 9569 12303 19551 21609 25973 28707 45619 58653 66983 77919 86121 136857 181811 200949 233757 410571 468881 545433 602847 1272677 1406643 1636299 3282167 3818031 4219929 8908739 9846501 11454093 26726217 29539503 62361173 80178651 187083519 561250557