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263087952241 = 5129212
BaseRepresentation
bin1111010100000101000…
…0111001000101110001
3221011002001101201101011
43311001100321011301
513302301003432431
6320505543510521
725002364460632
oct3650120710561
9834061351334
10263087952241
11a1636321504
1242ba3758441
131ba6974672a
14ca3ab13889
156c9bd40cb1
hex3d41439171

263087952241 has 3 divisors (see below), whose sum is σ = 263088465163. Its totient is φ = 263087439320.

The previous prime is 263087952217. The next prime is 263087952269. The reversal of 263087952241 is 142259780362.

It is a happy number.

The square root of 263087952241 is 512921.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 3803312241 + 259284640000 = 61671^2 + 509200^2 .

It is not a de Polignac number, because 263087952241 - 25 = 263087952209 is a prime.

It is a super-2 number, since 2×2630879522412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263087952041) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 256461 + ... + 769381.

It is a 1-persistent number, because it is pandigital, but 2⋅263087952241 = 526175904482 is not.

Almost surely, 2263087952241 is an apocalyptic number.

263087952241 is the 512921-st square number.

263087952241 is the 256461-st centered octagonal number.

It is an amenable number.

263087952241 is a deficient number, since it is larger than the sum of its proper divisors (512922).

263087952241 is an frugal number, since it uses more digits than its factorization.

263087952241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025842 (or 512921 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 263087952241 by its sum of digits (49), we get a square (12891309659809 = 35904472).

The spelling of 263087952241 in words is "two hundred sixty-three billion, eighty-seven million, nine hundred fifty-two thousand, two hundred forty-one".

Divisors: 1 512921 263087952241