Search a number
-
+
611058253 = 13537312149
BaseRepresentation
bin100100011011000…
…000001001001101
31120120210222100011
4210123000021031
52222412331003
6140345033221
721066623641
oct4433001115
91516728304
10611058253
11293a21123
12150785811
139979b040
145b224c21
15389a446d
hex246c024d

611058253 has 16 divisors (see below), whose sum is σ = 679719600. Its totient is φ = 545785344.

The previous prime is 611058229. The next prime is 611058257. The reversal of 611058253 is 352850116.

It can be written as a sum of positive squares in 8 ways, for example, as 47375689 + 563682564 = 6883^2 + 23742^2 .

It is a de Polignac number, because none of the positive numbers 2k-611058253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611058257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44223 + ... + 56371.

It is an arithmetic number, because the mean of its divisors is an integer number (42482475).

Almost surely, 2611058253 is an apocalyptic number.

It is an amenable number.

611058253 is a deficient number, since it is larger than the sum of its proper divisors (68661347).

611058253 is a wasteful number, since it uses less digits than its factorization.

611058253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12288.

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 611058253 is about 24719.5924925958. The cubic root of 611058253 is about 848.5827607847.

The spelling of 611058253 in words is "six hundred eleven million, fifty-eight thousand, two hundred fifty-three".

Divisors: 1 13 53 73 689 949 3869 12149 50297 157937 643897 886877 8370661 11529401 47004481 611058253