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12552737521 = 18126192
BaseRepresentation
bin10111011000011001…
…11001001011110001
31012101211012010200111
423230030321023301
5201202000100041
65433332421321
7623032336252
oct135414711361
935354163614
1012552737521
115361769545
122523a77841
13125082304c
148711c0b29
154d7054981
hex2ec3392f1

12552737521 has 9 divisors (see below), whose sum is σ = 12642897483. Its totient is φ = 12463218360.

The previous prime is 12552737501. The next prime is 12552737567. The reversal of 12552737521 is 12573725521.

The square root of 12552737521 is 112039.

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., 138321121 + 12414416400 = 11761^2 + 111420^2 .

It is not a de Polignac number, because 12552737521 - 211 = 12552735473 is a prime.

It is a super-2 number, since 2×125527375212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12552737501) 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, 20278750 + ... + 20279368.

It is an arithmetic number, because the mean of its divisors is an integer number (1404766387).

Almost surely, 212552737521 is an apocalyptic number.

12552737521 is the 112039-th square number.

12552737521 is the 56020-th centered octagonal number.

It is an amenable number.

12552737521 is a deficient number, since it is larger than the sum of its proper divisors (90159962).

12552737521 is an frugal number, since it uses more digits than its factorization.

12552737521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 800 counting only the distinct ones).

The product of its digits is 147000, while the sum is 40.

The spelling of 12552737521 in words is "twelve billion, five hundred fifty-two million, seven hundred thirty-seven thousand, five hundred twenty-one".

Divisors: 1 181 619 32761 112039 383161 20279059 69352141 12552737521